comb vs pocketcomb

comb and pocketcomb both are nouns.

Word	Noun	Adjective	Verb	Adverb
comb	Yes	No	Yes	No
pocketcomb	Yes	No	No	No

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

comb: a flat device with narrow pointed teeth on one edge; disentangles or arranges hair
pocketcomb: a small comb suitable for carrying in a pocket

Other hyponyms of comb include currycomb, fine-tooth comb, fine-toothed comb, pocket comb, dematting comb.

comb (noun)	pocketcomb (noun)
the act of drawing a comb through hair	a small comb suitable for carrying in a pocket
ciliated comb-like swimming plate of a ctenophore
the fleshy red crest on the head of the domestic fowl and other gallinaceous birds
a flat device with narrow pointed teeth on one edge; disentangles or arranges hair
any of several tools for straightening fibers

comb (verb)	pocketcomb (verb)
smoothen and neaten with or as with a comb
search thoroughly
straighten with a comb