leave off vs quit

leave off and quit both are verbs.

Word	Noun	Adjective	Verb	Adverb
leave off	No	No	Yes	No
quit	No	No	Yes	No

As verbs, quit is a hypernym of leave off; that is, quit is a word with a broader meaning than leave off:

Other hypernyms of leave off include cease, discontinue, give up, lay off, stop.

leave off (verb)	quit (verb)
cease to use	give up in the face of defeat of lacking hope; admit defeat
prevent from being included or considered or accepted	go away or leave
come to an end, stop or cease	turn away from; give up
	give up or retire from a position
	put an end to a state or an activity