cut out vs intercept

cut out is not a noun while intercept is a noun.

Word	Noun	Adjective	Verb	Adverb
cut out	No	Yes	Yes	No
intercept	Yes	No	Yes	No

As verbs, intercept is a hypernym of cut out; that is, intercept is a word with a broader meaning than cut out:

Other hypernyms of cut out include stop.

cut out (noun)	intercept (noun)
	the point at which a line intersects a coordinate axis

cut out (adjective)	intercept (adjective)
having been cut out

cut out (verb)	intercept (verb)
delete or remove	seize on its way
cease operating	tap a telephone or telegraph wire to get information
intercept (a player)
strike or cancel by or as if by rubbing or crossing out
form and create by cutting out
cut off and stop