hairsbreadth

[hairz-bredth, -bretth, -breth] /ˈhɛərzˌbrɛdθ, -ˌbrɛtθ, -ˌbrɛθ/
noun
1.
a very small space or distance:
We escaped an accident by a hairsbreadth.
adjective
2.
extremely narrow or close.
Also, hair's-breadth, hairbreadth.
Origin
1575-85
British Dictionary definitions for hair's-breadth

hair's-breadth

noun
1.
  1. a very short or imperceptible margin or distance
  2. (as modifier): a hair's-breadth escape