carving vs woodcarving

carving and woodcarving both are nouns.

Word	Noun	Adjective	Verb	Adverb
carving	Yes	No	No	No
woodcarving	Yes	No	No	No

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

carving: a sculpture created by removing material (as wood or ivory or stone) in order to create a desired shape
woodcarving: a carving created by carving wood

Other hyponyms of carving include cinquefoil, glyptic art, glyptography, scrimshaw, vermiculation.

carving (noun)	woodcarving (noun)
creating figures or designs in three dimensions	a carving created by carving wood
removing parts from hard material to create a desired pattern or shape
a sculpture created by removing material (as wood or ivory or stone) in order to create a desired shape