get under one's skin vs devil

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

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

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

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

get under one's skin (noun)	devil (noun)
	a word used in exclamations of confusion
	an evil supernatural being
	a cruel wicked and inhuman person
	a rowdy or mischievous person (usually a young man)

get under one's skin (verb)	devil (verb)
irritate	coat or stuff with a spicy paste
	cause annoyance in; disturb, especially by minor irritations