clutch bag vs handbag

clutch bag and handbag both are nouns.

Word	Noun	Adjective	Verb	Adverb
clutch bag	Yes	No	No	No
handbag	Yes	No	No	No

As nouns, handbag is a hypernym of clutch bag; that is, handbag is a word with a broader meaning than clutch bag:

clutch bag: a woman's strapless purse that is carried in the hand
handbag: a container used for carrying money and small personal items or accessories (especially by women)

Other hypernyms of clutch bag include bag, pocketbook, purse.

clutch bag (noun)	handbag (noun)
a woman's strapless purse that is carried in the hand	a container used for carrying money and small personal items or accessories (especially by women)