Hair's breadth

hair's-breadth escapes [narrow escapes]

We won by a hair's breadth.

He missed me by a hair's breadth when he ran past me yesterday.

They came within a hair's breadth of contacting electrified water.

Measure Maddalena, and measure Minerva, and, from forehead to chin, you won't find a hair's breadth of difference between them.

"And then at last I see him, and behold, my chance is gone but by a hair's breadth even before I have it, for he is in the very jaws of death, whence no power of mine can draw him."