narrow escape vs close shave

narrow escape and close shave both are nouns.

Word	Noun	Adjective	Verb	Adverb
narrow escape	Yes	No	No	No
close shave	Yes	No	No	No

As nouns, narrow escape and close shave are synonyms defined as:

narrow escape and close shave: something achieved (or escaped) by a narrow margin

Other synonyms of narrow escape include close call, squeak, squeaker.

narrow escape (noun)	close shave (noun)
something achieved (or escaped) by a narrow margin	something achieved (or escaped) by a narrow margin