cheekiness vs chutzpa

cheekiness and chutzpa both are nouns.

Word	Noun	Adjective	Verb	Adverb
cheekiness	Yes	No	No	No
chutzpa	Yes	No	No	No

As nouns, chutzpa is a hyponym of cheekiness; that is, chutzpa is a word with a more specific, narrower meaning than cheekiness:

cheekiness: the trait of being rude and impertinent; inclined to take liberties
chutzpa: (Yiddish) unbelievable gall; insolence; audacity

Other hyponyms of cheekiness include chutzpah, hutzpah.

cheekiness (noun)	chutzpa (noun)
the trait of being rude and impertinent; inclined to take liberties	(Yiddish) unbelievable gall; insolence; audacity