wear off vs wear away

wear off and wear away both are verbs.

Word	Noun	Adjective	Verb	Adverb
wear off	No	No	Yes	No
wear away	No	No	Yes	No

As verbs, wear off and wear away are synonyms defined as:

wear off (verb)	wear away (verb)
deteriorate through use or stress	become ground down or deteriorate
diminish, as by friction	diminish, as by friction
	cut away in small pieces