chic vs dapperness

chic and dapperness both are nouns.

Word	Noun	Adjective	Verb	Adverb
chic	Yes	Yes	No	No
dapperness	Yes	No	No	No

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

Other hyponyms of chic include jauntiness, nattiness, rakishness.

chic (noun)	dapperness (noun)
elegance by virtue of being fashionable	stylishness as evidenced by a smart appearance

chic (adjective)	dapperness (adjective)
elegant and stylish