cutting off vs trimming

cutting off and trimming both are nouns.

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

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

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

cutting off (noun)	trimming (noun)
the act of shortening something by chopping off the ends	the act of adding decoration
the act of cutting something off	cutting down to the desired size or shape
	a decoration or adornment typically on the edge of a garment