amuse vs cheer

amuse is not a noun while cheer is a noun.

Word	Noun	Adjective	Verb	Adverb
amuse	No	No	Yes	No
cheer	Yes	No	Yes	No

As verbs, cheer is a hypernym of amuse; that is, cheer is a word with a broader meaning than amuse:

Other hypernyms of amuse include cheer up, jolly along, jolly up.

amuse (noun)	cheer (noun)
	the quality of being cheerful and dispelling gloom
	a cry or shout of approval

amuse (verb)	cheer (verb)
make (somebody) laugh	become cheerful
occupy in an agreeable, entertaining or pleasant fashion	spur on or encourage especially by cheers and shouts
	show approval or good wishes by shouting
	cause (somebody) to feel happier or more cheerful
	give encouragement to