part vs cutting

part and cutting both are nouns.

Word	Noun	Adjective	Verb	Adverb
part	Yes	No	Yes	Yes
cutting	Yes	Yes	No	No

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

Other hyponyms of part include body part, corpus, acicula, base, corner, craton, fragment, hunk, lump, nub, stub, segment, slice, strip, world.

part (noun)	cutting (noun)
the actions and activities assigned to or required or expected of a person or group	the act of shortening something by chopping off the ends
the effort contributed by a person in bringing about a result	the act of cutting something into parts
something less than the whole of a human artifact	the act of penetrating or opening open with a sharp edge
an item that is an instance of some type	the activity of selecting the scenes to be shown and putting them together to create a film
a line of scalp that can be seen when sections of hair are combed in opposite directions	the act of diluting something
one of the portions into which something is regarded as divided and which together constitute a whole	removing parts from hard material to create a desired pattern or shape
an actor's portrayal of someone in a play	the division of a deck of cards before dealing
that which concerns a person with regard to a particular role or situation	an excerpt cut from a newspaper or magazine
the melody carried by a particular voice or instrument in polyphonic music	a piece cut off from the main part of something
the extended spatial location of something	a part (sometimes a root or leaf or bud) removed from a plant to propagate a new plant through rooting or grafting
a portion of a natural object
assets belonging to or due to or contributed by an individual person or group
something determined in relation to something that includes it

part (adjective)	cutting (adjective)
	unpleasantly cold and damp
	painful as if caused by a sharp instrument
	(of speech) harsh or hurtful in tone or character

part (verb)	cutting (verb)
move or break apart
force, take, or pull apart
depart for someplace
go one's own way; move apart
discontinue an association or relation; go different ways

part (adverb)	cutting (adverb)
to some extent; in some degree; not wholly