diff --git a/frontend/src/lib/components/assets/AssetGraph/AddDownstreamMenu.svelte b/frontend/src/lib/components/assets/AssetGraph/AddDownstreamMenu.svelte
new file mode 100644
index 0000000000..2a54fe11d4
--- /dev/null
+++ b/frontend/src/lib/components/assets/AssetGraph/AddDownstreamMenu.svelte
@@ -0,0 +1,73 @@
+<!--
+@component
+The menu adding a pipeline script downstream of an asset: opened from the asset's
+"+", or where that "+" was dropped on the blank canvas.
+-->
+<script lang="ts" module>
+	import type { ScriptLang } from '$lib/gen'
+	import type { AssetKind } from '$lib/components/assets/lib'
+	import type { PipelineInsertOptions } from './PipelineInsertMenu.svelte'
+	import type { PipelineOutputKind } from './pipelineTemplates'
+
+	export type AddScriptForAsset = (
+		asset: { kind: AssetKind; path: string },
+		language: ScriptLang,
+		scriptPath: string,
+		outputKind: PipelineOutputKind,
+		aiPrompt?: string,
+		options?: PipelineInsertOptions
+	) => void
+</script>
+
+<script lang="ts">
+	import { Code2 } from 'lucide-svelte'
+	import type { Snippet } from 'svelte'
+	import PipelineInsertMenu, { type PipelineInsertPick } from './PipelineInsertMenu.svelte'
+	import { PIPELINE_LANGUAGES } from './pipelineLanguages'
+
+	let {
+		asset,
+		onAddScript,
+		pathPrefix = '',
+		defaultPathSuffix = '',
+		openSignal,
+		trigger
+	}: {
+		asset: { kind: AssetKind; path: string }
+		onAddScript: AddScriptForAsset
+		pathPrefix?: string
+		defaultPathSuffix?: string
+		openSignal?: number
+		trigger: Snippet<[{ open: boolean }]>
+	} = $props()
+
+	function handlePick(pick: PipelineInsertPick) {
+		if (pick.kindId === 'pipeline_script' && pick.language && pick.path) {
+			onAddScript(
+				asset,
+				pick.language as ScriptLang,
+				pick.path,
+				(pick.outputKind ?? 'none') as PipelineOutputKind,
+				pick.aiPrompt,
+				{ outputAsset: pick.outputAsset }
+			)
+		}
+	}
+</script>
+
+<PipelineInsertMenu
+	kinds={[
+		{
+			id: 'pipeline_script',
+			label: 'Add downstream pipeline script',
+			description: 'Triggered when this asset changes',
+			icon: Code2
+		}
+	]}
+	languages={PIPELINE_LANGUAGES as any}
+	{pathPrefix}
+	{defaultPathSuffix}
+	{openSignal}
+	onPick={handlePick}
+	{trigger}
+/>
diff --git a/frontend/src/lib/components/assets/AssetGraph/AddDownstreamPill.svelte b/frontend/src/lib/components/assets/AssetGraph/AddDownstreamPill.svelte
new file mode 100644
index 0000000000..8ebd24455c
--- /dev/null
+++ b/frontend/src/lib/components/assets/AssetGraph/AddDownstreamPill.svelte
@@ -0,0 +1,23 @@
+<!--
+@component
+The "+" on an asset's bottom edge: a circle at rest, widened into a labelled pill
+while its menu is open or while it is being dragged. The label animates its
+max-width (width can't transition to auto) and never wraps.
+-->
+<script lang="ts">
+	import { Plus } from 'lucide-svelte'
+
+	let { expanded }: { expanded: boolean } = $props()
+</script>
+
+<span
+	class="group/add h-6 min-w-6 rounded-full flex items-center justify-center bg-surface border border-gray-400 dark:border-gray-600 text-secondary hover:text-primary hover:border-gray-500 shadow-sm leading-none overflow-hidden transition-[padding] duration-200 ease-out data-[open=true]:pl-1"
+	data-open={expanded}
+>
+	<Plus size={16} strokeWidth={2.5} class="shrink-0" />
+	<span
+		class="max-w-0 opacity-0 whitespace-nowrap text-3xs font-normal transition-[max-width,opacity,margin] duration-200 ease-out group-data-[open=true]/add:max-w-32 group-data-[open=true]/add:opacity-100 group-data-[open=true]/add:ml-1 group-data-[open=true]/add:mr-2"
+	>
+		Add downstream step
+	</span>
+</span>
diff --git a/frontend/src/lib/components/assets/AssetGraph/AssetGraphCanvas.svelte b/frontend/src/lib/components/assets/AssetGraph/AssetGraphCanvas.svelte
index aef3469414..007813d41e 100644
--- a/frontend/src/lib/components/assets/AssetGraph/AssetGraphCanvas.svelte
+++ b/frontend/src/lib/components/assets/AssetGraph/AssetGraphCanvas.svelte
@@ -16,6 +16,8 @@
 	import AddNode from './AddNode.svelte'
 	import AddDataSourceMenu from './AddDataSourceMenu.svelte'
 	import PipelineInsertMenu, { type PipelineInsertSchedule } from './PipelineInsertMenu.svelte'
+	import AddDownstreamMenu from './AddDownstreamMenu.svelte'
+	import AddDownstreamPill from './AddDownstreamPill.svelte'
 	import DataTestNode from './DataTestNode.svelte'
 	import AssetGraphEdge from './AssetGraphEdge.svelte'
 	import PanToNode from './PanToNode.svelte'
@@ -291,55 +293,170 @@
 		onAddAssetTrigger
 	}: Props = $props()
 
-	// Dragging a script's top dot onto an asset subscribes the script to it. Only
-	// the assets it can subscribe to without a loop stay lit while dragging.
+	// Two drags write `// on`: a script's top dot onto an asset, and an asset's "+"
+	// onto a script. Only the nodes the drop can subscribe without a loop stay lit.
+	// The "+" can also be dropped on the blank canvas, opening its add menu there.
 	let onDrag = $state<
 		| {
 				sourceId: string
-				scripts: string[]
 				from: { x: number; y: number }
 				to: { x: number; y: number }
 				eligible: Set<string>
 				over: string | undefined
+				/** Dragging an asset's "+", whose blank-canvas drop adds a step. */
+				feed: boolean
+				blank: boolean
 		  }
 		| undefined
 	>(undefined)
+	// Hit-tested on the boxes rather than with elementFromPoint: svelte-flow can
+	// make nodes click-through while the pointer is held down.
+	const within = (el: Element, x: number, y: number) => {
+		const r = el.getBoundingClientRect()
+		return x >= r.left && x <= r.right && y >= r.top && y <= r.bottom
+	}
+	let flowEl: HTMLElement | undefined = $state()
 	const nodeUnder = (x: number, y: number) =>
-		document.elementFromPoint(x, y)?.closest('.svelte-flow__node')?.getAttribute('data-id') ??
-		undefined
-	function startOnDrag(sourceId: string, scripts: string[], e: PointerEvent) {
-		if (!onAddAssetTrigger || scripts.length === 0) return
-		const sets = scripts.map((id) => onDirectiveTargets(model.nodes, model.edges, id))
-		const eligible = new Set([...sets[0]].filter((a) => sets.every((t) => t.has(a))))
+		[...(flowEl?.querySelectorAll('.svelte-flow__node') ?? [])]
+			.find((el) => within(el, x, y))
+			?.getAttribute('data-id') ?? undefined
+	const overBlank = (x: number, y: number) =>
+		!!flowEl &&
+		within(flowEl, x, y) &&
+		![
+			...flowEl.querySelectorAll(
+				'.svelte-flow__panel, .svelte-flow__controls, .svelte-flow__minimap'
+			)
+		].some((el) => within(el, x, y))
+	const readsAsset = (assetId: string, scriptId: string) =>
+		model.edges.some((x) => x.kind === 'lineage-read' && x.source === assetId && x.target === scriptId)
+	const assetOf = (assetId: string) => {
+		const a = model.nodes.find((n) => n.id === assetId)?.data
+		return a ? { kind: a.asset_kind as AssetKind, path: a.path as string } : undefined
+	}
+	function subscribe(assetId: string, scripts: string[]) {
+		const asset = assetOf(assetId)
+		if (!asset) return
+		onAddAssetTrigger?.({
+			asset,
+			scripts: scripts.map((id) => ({
+				script: id.replace(/^script:/, ''),
+				reads: readsAsset(assetId, id)
+			}))
+		})
+	}
+	/** `threshold`: pixels the pointer must travel before it counts as a drag, so a
+	 * plain click on the handle still clicks. */
+	function trackDrag(
+		e: PointerEvent,
+		start: { sourceId: string; feed: boolean; eligible: () => Set<string>; threshold: number },
+		drop: (target: string | undefined, at: { x: number; y: number }, blank: boolean) => void
+	) {
 		const from = { x: e.clientX, y: e.clientY }
-		onDrag = { sourceId, scripts, from, to: from, eligible, over: undefined }
+		let started = false
+		const begin = () => {
+			started = true
+			onDrag = {
+				sourceId: start.sourceId,
+				from,
+				to: from,
+				eligible: start.eligible(),
+				over: undefined,
+				feed: start.feed,
+				blank: false
+			}
+		}
+		if (start.threshold === 0) begin()
 		const move = (ev: PointerEvent) => {
+			if (!started) {
+				if (Math.hypot(ev.clientX - from.x, ev.clientY - from.y) < start.threshold) return
+				begin()
+			}
 			if (!onDrag) return
 			onDrag.to = { x: ev.clientX, y: ev.clientY }
 			onDrag.over = nodeUnder(ev.clientX, ev.clientY)
+			onDrag.blank = !onDrag.over && overBlank(ev.clientX, ev.clientY)
 		}
 		const up = (ev: PointerEvent) => {
 			window.removeEventListener('pointermove', move)
 			const drag = onDrag
 			onDrag = undefined
+			if (!started || !drag) return
+			// The release is not a click on whatever it lands on.
+			const swallow = (c: MouseEvent) => {
+				c.stopPropagation()
+				c.preventDefault()
+			}
+			window.addEventListener('click', swallow, { capture: true, once: true })
+			setTimeout(() => window.removeEventListener('click', swallow, { capture: true }), 0)
 			const target = nodeUnder(ev.clientX, ev.clientY)
-			if (!drag || !target || !drag.eligible.has(target)) return
-			const a = model.nodes.find((n) => n.id === target)?.data
-			if (!a) return
-			const asset = { kind: a.asset_kind as AssetKind, path: a.path as string }
-			onAddAssetTrigger?.({
-				asset,
-				scripts: drag.scripts.map((id) => ({
-					script: id.replace(/^script:/, ''),
-					reads: model.edges.some(
-						(x) => x.kind === 'lineage-read' && x.source === target && x.target === id
-					)
-				}))
-			})
+			const at = { x: ev.clientX, y: ev.clientY }
+			drop(target && drag.eligible.has(target) ? target : undefined, at, !target && drag.blank)
 		}
 		window.addEventListener('pointermove', move)
 		window.addEventListener('pointerup', up, { once: true })
 	}
+	function startOnDrag(sourceId: string, scripts: string[], e: PointerEvent) {
+		if (!onAddAssetTrigger || scripts.length === 0) return
+		trackDrag(
+			e,
+			{
+				sourceId,
+				feed: false,
+				threshold: 0,
+				eligible: () => {
+					const sets = scripts.map((id) => onDirectiveTargets(model.nodes, model.edges, id))
+					return new Set([...sets[0]].filter((a) => sets.every((t) => t.has(a))))
+				}
+			},
+			(target) => {
+				if (target) subscribe(target, scripts)
+			}
+		)
+	}
+	// Where a "+" dropped on the blank canvas opened its add menu.
+	let feedMenu = $state<
+		| { at: { x: number; y: number }; asset: { kind: AssetKind; path: string }; data: any }
+		| undefined
+	>(undefined)
+	let feedMenuSignal = $state(0)
+	function startFeedDrag(assetId: string, data: any, e: PointerEvent) {
+		trackDrag(
+			e,
+			{
+				sourceId: assetId,
+				feed: true,
+				threshold: 5,
+				// A drop target is a node whose scripts can all subscribe to the asset.
+				eligible: () => {
+					if (!onAddAssetTrigger) return new Set()
+					const targets = new Map<string, Set<string>>()
+					const can = (id: string) => {
+						if (!targets.has(id)) targets.set(id, onDirectiveTargets(model.nodes, model.edges, id))
+						return targets.get(id)!.has(assetId)
+					}
+					return new Set(
+						view.nodes
+							.filter((n) => {
+								const scripts = dragScripts(n)
+								return n.id !== assetId && scripts.length > 0 && scripts.every(can)
+							})
+							.map((n) => n.id)
+					)
+				}
+			},
+			(target, at, blank) => {
+				const node = target ? view.nodes.find((n) => n.id === target) : undefined
+				if (node) subscribe(assetId, dragScripts(node))
+				else if (blank) {
+					const asset = assetOf(assetId)
+					if (!asset) return
+					feedMenu = { at, asset, data }
+					feedMenuSignal++
+				}
+			}
+		)
+	}
 	// Pipeline scripts a node's top dot drags for: the script itself, or, in the
 	// assets-only view, the scripts building the asset.
 	function dragScripts(n: { id: string; type: string; data: any }): string[] {
@@ -522,6 +639,8 @@
 			// script that is folded away.
 			| 'asset-flow'
 		unsaved?: boolean
+		// Assets-only `asset-flow`: a write to the source reruns a folded script.
+		reactive?: boolean
 		// Muted read edge: a ducklake/s3 input read every run whose (default)
 		// auto cascade trigger is suppressed by `// mute` / `// mute all`.
 		// Rendered with a bell-off badge — auto-wiring is the norm, so we mark
@@ -1541,6 +1660,9 @@
 				...(foldedFixes.length ? { foldedFixes } : {}),
 				...(scriptsToDrag.length
 					? { onStartOnDrag: (e: PointerEvent) => startOnDrag(n.id, scriptsToDrag, e) }
+					: {}),
+				...(n.type === 'asset' && onAddScriptForAsset
+					? { onStartFeedDrag: (e: PointerEvent) => startFeedDrag(n.id, n.data, e) }
 					: {})
 			}
 			return {
@@ -1673,8 +1795,16 @@
 						markerColor = 'rgb(59 130 246)'
 						break
 					case 'asset-flow':
-						style = 'stroke: rgb(59 130 246); stroke-width: 1.25px;'
-						markerColor = 'rgb(59 130 246)'
+						// Assets-only: a write upstream reruns what builds the target
+						// (solid, like a trigger), or the target only reads it (dashed gray).
+						if (e.reactive) {
+							style = 'stroke: rgb(59 130 246); stroke-width: 1.5px;'
+							markerColor = 'rgb(59 130 246)'
+						} else {
+							style = 'stroke: rgb(156 163 175); stroke-width: 1px;'
+							strokeDasharray = '4 3'
+							markerColor = 'rgb(156 163 175)'
+						}
 						break
 					case 'lineage-read':
 						style = 'stroke: rgb(156 163 175); stroke-width: 1px;'
@@ -1886,6 +2016,7 @@
 <!-- svelte-ignore a11y_click_events_have_key_events, a11y_no_static_element_interactions -->
 <div
 	class="w-full h-full relative"
+	bind:this={flowEl}
 	bind:clientWidth={paneWidth}
 	onclickcapture={handleBackgroundClick}
 	oncontextmenu={handleContextMenu}
@@ -2017,8 +2148,39 @@
 			stroke-width="1.5"
 			stroke-dasharray="4 3"
 		/>
-		<circle cx={onDrag.to.x} cy={onDrag.to.y} r="3" class="fill-blue-500" />
+		{#if !(onDrag.feed && onDrag.blank)}
+			<circle cx={onDrag.to.x} cy={onDrag.to.y} r="3" class="fill-blue-500" />
+		{/if}
 	</svg>
+	{#if onDrag.feed && onDrag.blank}
+		<div
+			class="fixed z-50 pointer-events-none -translate-x-1/2 -translate-y-1/2"
+			style="left: {onDrag.to.x}px; top: {onDrag.to.y}px;"
+		>
+			<AddDownstreamPill expanded />
+		</div>
+	{/if}
+{/if}
+
+{#if feedMenu && onAddScriptForAsset}
+	<div
+		class="fixed z-10 -translate-x-1/2 -translate-y-1/2"
+		style="left: {feedMenu.at.x}px; top: {feedMenu.at.y}px;"
+	>
+		<AddDownstreamMenu
+			asset={feedMenu.asset}
+			onAddScript={onAddScriptForAsset}
+			pathPrefix={feedMenu.data.pathPrefix ?? pathPrefix}
+			defaultPathSuffix={feedMenu.data.defaultPathSuffix ?? defaultPathSuffix}
+			openSignal={feedMenuSignal}
+		>
+			{#snippet trigger({ open })}
+				{#if open}
+					<AddDownstreamPill expanded />
+				{/if}
+			{/snippet}
+		</AddDownstreamMenu>
+	</div>
 {/if}
 
 {#if hoveredEdge && hoveredEdgeText}
diff --git a/frontend/src/lib/components/assets/AssetGraph/AssetNode.svelte b/frontend/src/lib/components/assets/AssetGraph/AssetNode.svelte
index ede2f3815e..2163398372 100644
--- a/frontend/src/lib/components/assets/AssetGraph/AssetNode.svelte
+++ b/frontend/src/lib/components/assets/AssetGraph/AssetNode.svelte
@@ -7,7 +7,8 @@
 	import NodeActionsMenu from './NodeActionsMenu.svelte'
 	import NodeFixButton, { type NodeFix } from './NodeFixButton.svelte'
 	import NodeOnDot from './NodeOnDot.svelte'
-	import PipelineInsertMenu, { type PipelineInsertPick } from './PipelineInsertMenu.svelte'
+	import AddDownstreamMenu from './AddDownstreamMenu.svelte'
+	import AddDownstreamPill from './AddDownstreamPill.svelte'
 	import {
 		ArrowUpRight,
 		Code2,
@@ -15,7 +16,6 @@
 		History,
 		Play,
 		Loader2,
-		Plus,
 		ShieldCheck,
 		ShieldAlert,
 		CheckCircle2,
@@ -26,7 +26,6 @@
 	import type { ScriptLang } from '$lib/gen'
 	import { enterpriseLicense } from '$lib/stores'
 	import { sendUserToast, type Item } from '$lib/utils'
-	import { PIPELINE_LANGUAGES } from './pipelineLanguages'
 	import type { PipelineOutputKind } from './pipelineTemplates'
 	import type { DbtAssetProvenance } from './types'
 	import DbtIcon from '$lib/components/icons/DbtIcon.svelte'
@@ -116,6 +115,9 @@
 			) => void
 			pathPrefix?: string
 			defaultPathSuffix?: string
+			/** Starts dragging the "+" onto a script (subscribing it to this asset)
+			 * or onto the blank canvas (opening the add menu there). */
+			onStartFeedDrag?: (e: PointerEvent) => void
 			// Producer scripts/flows that write to this asset, supplied by
 			// the canvas from the graph's write/rw edges. Drives the on-hover
 			// "Run" button. Includes unsaved/draft producers so the button
@@ -212,18 +214,7 @@
 		}
 	}
 
-	function handlePick(pick: PipelineInsertPick) {
-		if (pick.kindId === 'pipeline_script' && pick.language && pick.path) {
-			data.onAddScript?.(
-				{ kind: data.asset_kind, path: data.path },
-				pick.language as ScriptLang,
-				pick.path,
-				(pick.outputKind ?? 'none') as PipelineOutputKind,
-				pick.aiPrompt,
-				{ outputAsset: pick.outputAsset }
-			)
-		}
-	}
+
 
 	// A red asset needs fixing where its error comes from, not a downstream step;
 	// and a step downstream of what nothing writes would never run on its writes.
@@ -669,41 +660,33 @@
 		     script creation, half-overlapping it like the flow editor's
 		     between-step inserter. -->
 		<div class="absolute left-1/2 -bottom-3 -translate-x-1/2 z-10">
-			<PipelineInsertMenu
-				kinds={[
-					{
-						id: 'pipeline_script',
-						label: 'Add downstream pipeline script',
-						description: 'Triggered when this asset changes',
-						icon: Code2
-					}
-				]}
-				languages={PIPELINE_LANGUAGES as any}
-				pathPrefix={data.pathPrefix ?? ''}
-				defaultPathSuffix={data.defaultPathSuffix ?? ''}
-				onPick={handlePick}
+			<AddDownstreamMenu
+				asset={{ kind: data.asset_kind, path: data.path }}
+				onAddScript={data.onAddScript!}
+				pathPrefix={data.pathPrefix}
+				defaultPathSuffix={data.defaultPathSuffix}
 			>
 				{#snippet trigger({ open })}
-					<!-- A circle at rest; hovering widens it into a labelled pill, which
-					     stays open while its menu is (the menu can open under the pointer
-					     and take the hover away). The label animates its max-width (width
-					     can't transition to auto) and never wraps. -->
+					<!-- A click opens the menu; a drag goes to the canvas, which
+					     tells a real drag from a click by how far the pointer moves. -->
 					<button
 						type="button"
+						class="nopan nodrag block"
 						onclick={(e) => e.stopPropagation()}
-						class="group/add h-6 min-w-6 rounded-full flex items-center justify-center bg-surface border border-gray-400 dark:border-gray-600 text-secondary hover:text-primary hover:border-gray-500 shadow-sm leading-none overflow-hidden transition-[padding] duration-200 ease-out hover:pl-1 data-[open=true]:pl-1"
-						data-open={open}
+						onpointerdown={(e) => {
+							if (e.button !== 0) return
+							e.preventDefault()
+							data.onStartFeedDrag?.(e)
+						}}
 						aria-label="Add downstream step"
+						title={data.onStartFeedDrag
+							? 'Click to add a downstream step, or drag onto a script to run it after each write'
+							: undefined}
 					>
-						<Plus size={16} strokeWidth={2.5} class="shrink-0" />
-						<span
-							class="max-w-0 opacity-0 whitespace-nowrap text-3xs font-normal transition-[max-width,opacity,margin] duration-200 ease-out group-hover/add:max-w-32 group-hover/add:opacity-100 group-hover/add:ml-1 group-hover/add:mr-2 group-data-[open=true]/add:max-w-32 group-data-[open=true]/add:opacity-100 group-data-[open=true]/add:ml-1 group-data-[open=true]/add:mr-2"
-						>
-							Add downstream step
-						</span>
+						<AddDownstreamPill expanded={open} />
 					</button>
 				{/snippet}
-			</PipelineInsertMenu>
+			</AddDownstreamMenu>
 		</div>
 	{/if}
 </div>
diff --git a/frontend/src/lib/components/assets/AssetGraph/assetsOnlyView.ts b/frontend/src/lib/components/assets/AssetGraph/assetsOnlyView.ts
index d9c102018c..ae1882243d 100644
--- a/frontend/src/lib/components/assets/AssetGraph/assetsOnlyView.ts
+++ b/frontend/src/lib/components/assets/AssetGraph/assetsOnlyView.ts
@@ -10,6 +10,8 @@ export type ViewEdge = {
 	unsaved?: boolean
 	/** Assets-only edges: the folded runnables the data goes through. */
 	via?: string[]
+	/** Assets-only edges: a write to the source reruns one of `via`. */
+	reactive?: boolean
 }
 
 /** The assets-only node standing for the scripts that build no asset. */
@@ -63,6 +65,9 @@ export function assetsOnlyView<N extends ViewNode, E extends ViewEdge>(
 		} else if (e.kind === 'trigger-native') push(triggersOf, e.target, e)
 	}
 
+	const triggered = new Set(
+		edges.filter((e) => e.kind === 'trigger-asset').map((e) => `${e.source}\n${e.target}`)
+	)
 	const out = new Map<string, ViewEdge>()
 	for (const [assetId, writes] of producersOf) {
 		for (const w of writes) {
@@ -72,8 +77,10 @@ export function assetsOnlyView<N extends ViewNode, E extends ViewEdge>(
 				const id = `flow:${r.source}->${assetId}`
 				const prev = out.get(id)
 				const unsaved = !!(w.unsaved || r.unsaved)
+				const reactive = triggered.has(`${r.source}\n${w.source}`)
 				if (prev) {
 					prev.unsaved = prev.unsaved && unsaved
+					prev.reactive ||= reactive
 					if (!prev.via?.includes(w.source)) prev.via = [...(prev.via ?? []), w.source]
 				} else {
 					out.set(id, {
@@ -82,6 +89,7 @@ export function assetsOnlyView<N extends ViewNode, E extends ViewEdge>(
 						target: assetId,
 						kind: 'asset-flow',
 						unsaved,
+						reactive,
 						via: [w.source]
 					})
 				}
@@ -136,8 +144,10 @@ export function assetsOnlyView<N extends ViewNode, E extends ViewEdge>(
 			for (const r of inputsOf.get(id) ?? []) {
 				const eid = `flow:${r.source}->${NO_ASSET_NODE_ID}`
 				const prev = out.get(eid)
+				const reactive = triggered.has(`${r.source}\n${id}`)
 				if (prev) {
 					prev.unsaved = prev.unsaved && !!r.unsaved
+					prev.reactive ||= reactive
 					if (!prev.via?.includes(id)) prev.via = [...(prev.via ?? []), id]
 				} else {
 					out.set(eid, {
@@ -146,6 +156,7 @@ export function assetsOnlyView<N extends ViewNode, E extends ViewEdge>(
 						target: NO_ASSET_NODE_ID,
 						kind: 'asset-flow',
 						unsaved: !!r.unsaved,
+						reactive,
 						via: [id]
 					})
 				}
diff --git a/frontend/src/lib/components/assets/AssetGraph/edgeDescription.test.ts b/frontend/src/lib/components/assets/AssetGraph/edgeDescription.test.ts
index a0dea60700..2aff7a0e81 100644
--- a/frontend/src/lib/components/assets/AssetGraph/edgeDescription.test.ts
+++ b/frontend/src/lib/components/assets/AssetGraph/edgeDescription.test.ts
@@ -46,6 +46,6 @@ describe('describeEdge', () => {
 				nameOf,
 				dataOf
 			)
-		).toEqual({ subject: 'clean', phrase: 'is built from', object: 'raw', note: 'By Clean.' })
+		).toEqual({ subject: 'clean', phrase: 'is built from', object: 'raw', note: 'By Clean. A write to raw does not rerun it.' })
 	})
 })
diff --git a/frontend/src/lib/components/assets/AssetGraph/edgeDescription.ts b/frontend/src/lib/components/assets/AssetGraph/edgeDescription.ts
index 486bd3dab5..4267dde92c 100644
--- a/frontend/src/lib/components/assets/AssetGraph/edgeDescription.ts
+++ b/frontend/src/lib/components/assets/AssetGraph/edgeDescription.ts
@@ -13,6 +13,7 @@ export type DescribedEdge = {
 	muted?: boolean
 	missing?: boolean
 	via?: string[]
+	reactive?: boolean
 	macro_names?: string[]
 	via_use?: boolean
 }
@@ -71,15 +72,18 @@ export function describeEdge(
 		}
 		case 'asset-flow': {
 			const via = (e.via ?? []).map(nameOf).join(', ')
+			const rerun = e.reactive
+				? `Each write to ${src} reruns it.`
+				: `A write to ${src} does not rerun it.`
 			// The scripts that build nothing only read: name them, not the node.
 			if (e.target === NO_ASSET_NODE_ID) {
-				return { subject: src, phrase: 'is read by', object: via || tgt }
+				return { subject: src, phrase: 'is read by', object: via || tgt, note: rerun }
 			}
 			return {
 				subject: tgt,
 				phrase: 'is built from',
 				object: src,
-				note: via ? `By ${via}.` : undefined
+				note: via ? `By ${via}. ${rerun}` : rerun
 			}
 		}
 		case 'dbt-ref':