hair claw vs hair clip

hair claw and hair clip both are nouns.

Word	Noun	Adjective	Verb	Adverb
hair claw	Yes	No	No	No
hair clip	Yes	No	No	No

As nouns, hair clip is a hypernym of hair claw; that is, hair clip is a word with a broader meaning than hair claw:

hair claw: a type of hair clip with interlocking teeth connected by a spring
hair clip: any of various clasps and clips used for holding hair in place.

hair claw (noun)	hair clip (noun)
a type of hair clip with interlocking teeth connected by a spring	any of various clasps and clips used for holding hair in place.