Verbs

(v)cut inallow someone to have a share or profit
(v)cut indrive in front of another vehicle leaving too little space for that vehicle to maneuver comfortably
(v)chime in, cut in, put in, butt in, chisel in, barge in, break inbreak into a conversation“her husband always chimes in, even when he is not involved in the conversation”
(v)cut ininterrupt a dancing couple in order to take one of them as one's own partner“Jim always cuts in!”
(v)cut inmix in with cutting motions