cut into vs groove

cut into is not a noun while groove is a noun.

Word	Noun	Adjective	Verb	Adverb
cut into	No	No	Yes	No
groove	Yes	No	Yes	No

As verbs, groove is a hyponym of cut into; that is, groove is a word with a more specific, narrower meaning than cut into:

Other hyponyms of cut into include furrow, rut, root, rootle, rout, spade, shovel, trowel, burrow, tunnel.

cut into (noun)	groove (noun)
	a settled and monotonous routine that is hard to escape
	(anatomy) any furrow or channel on a bodily structure or part
	a long narrow furrow cut either by a natural process (such as erosion) or by a tool (as e.g. a groove in a phonograph record)

cut into (verb)	groove (verb)
turn up, loosen, or remove earth	hollow out in the form of a furrow or groove
	make a groove in, or provide with a groove