diff --git a/frontend/src/components/Flow/LiveEdge.tsx b/frontend/src/components/Flow/LiveEdge.tsx
index 798da4f..92274a1 100644
--- a/frontend/src/components/Flow/LiveEdge.tsx
+++ b/frontend/src/components/Flow/LiveEdge.tsx
@@ -288,6 +288,8 @@ function LiveEdgeComponent({
           <div
             style={{
               transform: `translate(-50%, -50%) translate(${labelX}px, ${labelY}px)`,
+              // Only where the chip sits in the room the layout made for it.
+              maxWidth: square ? route?.chipWidth : undefined,
             }}
             className="pointer-events-none absolute max-w-[140px] truncate rounded-full border border-border bg-card px-2 py-0.5 font-mono text-xs text-foreground"
           >
diff --git a/frontend/src/components/Flow/layout.ts b/frontend/src/components/Flow/layout.ts
index 2faecb7..bfffef3 100644
--- a/frontend/src/components/Flow/layout.ts
+++ b/frontend/src/components/Flow/layout.ts
@@ -132,7 +132,8 @@ const TOO_WIDE = (ABREAST + 1) * (NODE_W + NODE_GAP)
  *
  * Centring packs a rank's chips together where the edges meet in the middle,
  * so with no width at all they piled onto each other. This is a number's
- * worth: a longer value overlaps its neighbour rather than widening the graph.
+ * worth: a longer value is cut to fit (see `Route.chipWidth`) rather than
+ * widening the graph, and the edge's inspector shows it whole.
  */
 const CENTRED_LABEL_W = 60
 
@@ -168,6 +169,8 @@ export type Route = {
   points: Point[]
   /** Where the room reserved for the edge's value chip is centred. */
   label: Point
+  /** How wide the chip may be, where that room is narrower than the chip. */
+  chipWidth?: number
   from: Point
   to: Point
 }
@@ -453,6 +456,7 @@ export async function layoutGraph(
   }
 
   let { placed, laid } = await place([])
+  let centred = false
 
   // Running downwards, a rank wider than the screen is the one thing the
   // layout can still do something about. Wrapping one rank pushes whatever was
@@ -469,6 +473,7 @@ export async function layoutGraph(
     }
     const [left, right] = extentOf(placed, shapes, direction)
     if (wrap.length && right - left > TOO_WIDE) {
+      centred = true
       ;({ placed, laid } = await place(wrap, true))
     }
   }
@@ -506,6 +511,7 @@ export async function layoutGraph(
         direction === "TB" && (room.x < left || room.x > right)
           ? (longestRun(points) ?? room)
           : room,
+      chipWidth: centred ? CENTRED_LABEL_W : undefined,
       from: positions.get(source) ?? { x: 0, y: 0 },
       to: positions.get(target) ?? { x: 0, y: 0 },
     })
diff --git a/frontend/src/components/ui/select.tsx b/frontend/src/components/ui/select.tsx
index c1c24e9..5d0d533 100644
--- a/frontend/src/components/ui/select.tsx
+++ b/frontend/src/components/ui/select.tsx
@@ -35,7 +35,7 @@ function SelectTrigger({
       data-slot="select-trigger"
       data-size={size}
       className={cn(
-        "border-input data-[placeholder]:text-muted-foreground [&_svg:not([class*='text-'])]:text-muted-foreground focus-visible:border-ring focus-visible:ring-ring/50 aria-invalid:ring-destructive/20 dark:aria-invalid:ring-destructive/40 aria-invalid:border-destructive dark:bg-input/30 dark:hover:bg-input/50 flex w-fit items-center justify-between gap-2 rounded-full border bg-transparent px-3 py-2 text-sm whitespace-nowrap shadow-none transition-[color,box-shadow] outline-none focus-visible:ring-[3px] disabled:cursor-not-allowed disabled:opacity-50 data-[size=default]:h-9 data-[size=sm]:h-8 *:data-[slot=select-value]:line-clamp-1 *:data-[slot=select-value]:flex *:data-[slot=select-value]:items-center *:data-[slot=select-value]:gap-2 [&_svg]:pointer-events-none [&_svg]:shrink-0 [&_svg:not([class*='size-'])]:size-4",
+        "border-input data-[placeholder]:text-muted-foreground [&_svg:not([class*='text-'])]:text-muted-foreground focus-visible:border-ring focus-visible:ring-ring/50 aria-invalid:ring-destructive/20 dark:aria-invalid:ring-destructive/40 aria-invalid:border-destructive dark:bg-input/30 dark:hover:bg-input/50 flex w-fit items-center justify-between gap-2 rounded-full border bg-transparent px-3 py-2 text-sm whitespace-nowrap shadow-none transition-[color,box-shadow] outline-none focus-visible:ring-[3px] disabled:cursor-not-allowed disabled:opacity-50 data-[size=default]:h-9 data-[size=sm]:h-8 *:data-[slot=select-value]:truncate [&_svg]:pointer-events-none [&_svg]:shrink-0 [&_svg:not([class*='size-'])]:size-4",
         className
       )}
       {...props}