cutting off vs clipping

cutting off and clipping both are nouns.

Word	Noun	Adjective	Verb	Adverb
cutting off	Yes	No	No	No
clipping	Yes	No	No	No

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

Other hyponyms of cutting off include clip, snip, haircut, trim, trimming, shearing.

cutting off (noun)	clipping (noun)
the act of shortening something by chopping off the ends	the act of clipping or snipping
the act of cutting something off	cutting down to the desired size or shape
	an excerpt cut from a newspaper or magazine