handbag vs clutch bag

handbag and clutch bag both are nouns.

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

As nouns, clutch bag is a hyponym of handbag; that is, clutch bag is a word with a more specific, narrower meaning than handbag:

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

Other hyponyms of handbag include clutch, etui, evening bag, reticule, shoulder bag.

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