cut in vs put in

cut in and put in both are verbs.

Word	Noun	Adjective	Verb	Adverb
cut in	No	No	Yes	No
put in	No	No	Yes	No

As verbs, cut in and put in are synonyms defined as:

Other synonyms of cut in include barge in, break in, butt in, chime in, chisel in.

cut in (verb)	put in (verb)
interrupt a dancing couple in order to take one of them as one's own partner	place, fit, or thrust (something) into another thing
mix in with cutting motions	break into a conversation
break into a conversation	to insert between other elements
drive in front of another vehicle leaving too little space for that vehicle to maneuver comfortably	make an application as for a job or funding
allow someone to have a share or profit	set up for use
	keep or lay aside for future use