diff --git a/resources/js/components/graph-canvas.tsx b/resources/js/components/graph-canvas.tsx
index 82350c920..b2f0d0155 100644
--- a/resources/js/components/graph-canvas.tsx
+++ b/resources/js/components/graph-canvas.tsx
@@ -29,6 +29,7 @@ import type {
     GraphNode,
     LeavingRow,
     NodeAnimation,
+    Overhang,
     Point,
 } from '@/lib/graph';
 import { cn } from '@/lib/utils';
@@ -337,6 +338,38 @@ function snap(value: number): number {
     return Math.round(value * ratio) / ratio;
 }
 
+/**
+ * What a node marks `data-graph-overhang` as hanging off it, like a LIVE badge over the bottom of an avatar's ring, grown
+ * by the ring the attribute gives, in px.
+ */
+function overhangsOf(element: HTMLElement, box: DOMRect): Overhang[] {
+    return [
+        ...element.querySelectorAll<HTMLElement>('[data-graph-overhang]'),
+    ].map((overhang) => {
+        const rect = overhang.getBoundingClientRect();
+        const ring = Number(overhang.dataset.graphOverhang) || 0;
+
+        return {
+            x: snap(rect.left - box.left - ring),
+            y: snap(rect.top - box.top - ring),
+            width: snap(rect.width + 2 * ring),
+            height: snap(rect.height + 2 * ring),
+            radius:
+                (Number.parseFloat(
+                    getComputedStyle(overhang).borderTopLeftRadius,
+                ) || 0) + ring,
+        };
+    });
+}
+
+function isOverhang(node: Node): boolean {
+    return (
+        node instanceof HTMLElement &&
+        (node.dataset.graphOverhang !== undefined ||
+            node.querySelector('[data-graph-overhang]') !== null)
+    );
+}
+
 /**
  * The CSS animations running on a node and on the elements around it, up to the canvas, with the time they have left.
  */
@@ -420,11 +453,13 @@ export function GraphCanvas({ children }: { children: ReactNode }) {
             .filter(({ element }) => element.isConnected)
             .map(({ element, spec }) => {
                 const centre = layoutCentre(element, container);
+                const overhangs = overhangsOf(element, box);
                 rows.find((row) => row.element.contains(element))?.row.ids.add(
                     spec.id,
                 );
 
                 return {
+                    ...(overhangs.length > 0 && { overhangs }),
                     id: spec.id,
                     lane: spec.lane,
                     after: spec.after,
@@ -545,7 +580,8 @@ export function GraphCanvas({ children }: { children: ReactNode }) {
 
         // Nodes also move without anything resizing, like cards trading places when the feed reorders. Other changes
         // inside a card, like an image done loading, move no node unless they resize the container, which the resize
-        // observer reports.
+        // observer reports. An overhang, like the LIVE badge as its user goes live, comes and goes out of the layout,
+        // so nothing resizes either.
         const mutations = new MutationObserver((records) => {
             const elements = [
                 ...[...entries.current.values()].map(({ element }) => element),
@@ -554,11 +590,15 @@ export function GraphCanvas({ children }: { children: ReactNode }) {
             departed.current.clear();
 
             if (
-                records.some((record) =>
-                    [...record.addedNodes, ...record.removedNodes].some(
-                        (node) =>
+                records.some(
+                    ({ target, addedNodes, removedNodes }) =>
+                        [...addedNodes, ...removedNodes].some((node) =>
                             elements.some((element) => node.contains(element)),
-                    ),
+                        ) ||
+                        ([...addedNodes, ...removedNodes].some(isOverhang) &&
+                            elements.some((element) =>
+                                element.contains(target),
+                            )),
                 )
             ) {
                 measureNow();
@@ -696,6 +736,26 @@ export function GraphCanvas({ children }: { children: ReactNode }) {
                                     )}
                                 />
                             ))}
+                            {nodes.flatMap((node) =>
+                                (node.overhangs ?? []).map(
+                                    (overhang, index) => (
+                                        <rect
+                                            key={`${node.id}-${index}`}
+                                            x={overhang.x}
+                                            y={overhang.y}
+                                            width={overhang.width}
+                                            height={overhang.height}
+                                            rx={overhang.radius}
+                                            fill="black"
+                                            clipPath={clipOf(
+                                                leaving.findIndex((row) =>
+                                                    row.ids.has(node.id),
+                                                ),
+                                            )}
+                                        />
+                                    ),
+                                ),
+                            )}
                         </mask>
                         {leaving.map((row, index) => (
                             <clipPath key={index} id={`${id}-leaving-${index}`}>
diff --git a/resources/js/components/live-badge.tsx b/resources/js/components/live-badge.tsx
index 46de0d9a5..b45083ece 100644
--- a/resources/js/components/live-badge.tsx
+++ b/resources/js/components/live-badge.tsx
@@ -1,6 +1,7 @@
+import type { ComponentProps } from 'react';
 import { cn } from '@/lib/utils';
 
-export function LiveBadge({ className }: { className?: string }) {
+export function LiveBadge({ className, ...props }: ComponentProps<'span'>) {
     return (
         <span
             className={cn(
@@ -8,6 +9,7 @@ export function LiveBadge({ className }: { className?: string }) {
                 className,
             )}
             data-test="live-badge"
+            {...props}
         >
             <span
                 aria-hidden
diff --git a/resources/js/components/live-stream-card.tsx b/resources/js/components/live-stream-card.tsx
index 88d70624a..7277e4c48 100644
--- a/resources/js/components/live-stream-card.tsx
+++ b/resources/js/components/live-stream-card.tsx
@@ -78,6 +78,8 @@ export function LiveAvatarMarker({ className }: { className?: string }) {
                 'absolute -bottom-1.5 left-1/2 -translate-x-1/2 ring-2 ring-card',
                 className,
             )}
+            // On a graph node, it hangs below the ring: the lines go round it and its 2px ring.
+            data-graph-overhang="2"
         />
     );
 }
diff --git a/resources/js/lib/graph.ts b/resources/js/lib/graph.ts
index eadfffee7..f929bdd44 100644
--- a/resources/js/lib/graph.ts
+++ b/resources/js/lib/graph.ts
@@ -15,6 +15,14 @@ export type GraphNode = Point & {
     dimmed?: boolean;
     /** On its way out, like an end dot scaling out as the thread goes on below it: linked to nothing, it only keeps its cut-out. */
     isLeaving?: boolean;
+    /** What hangs off the node beyond its ring, like a LIVE badge, cut out of the lines too. */
+    overhangs?: Overhang[];
+};
+
+export type Overhang = Point & {
+    width: number;
+    height: number;
+    radius: number;
 };
 
 export type GraphEdge = {