get under one's skin vs chafe

get under one's skin is not a noun while chafe is a noun.

Word	Noun	Adjective	Verb	Adverb
get under one's skin	No	No	Yes	No
chafe	Yes	No	Yes	No

As verbs, chafe is a hypernym of get under one's skin; that is, chafe is a word with a broader meaning than get under one's skin:

Other hypernyms of get under one's skin include annoy, bother, devil, get at, get to, gravel, irritate, nark, nettle, rag, rile, vex.

get under one's skin (noun)	chafe (noun)
	anger produced by some annoying irritation
	soreness and warmth caused by friction

get under one's skin (verb)	chafe (verb)
irritate	warm by rubbing, as with the hands
	tear or wear off the skin or make sore by abrading
	cause friction
	cause annoyance in; disturb, especially by minor irritations
	feel extreme irritation or anger
	become or make sore by or as if by rubbing