WordNet (r) 3.0 (2006):

cut in
    v 1: allow someone to have a share or profit
    2: drive in front of another vehicle leaving too little space
       for that vehicle to maneuver comfortably
    3: break into a conversation; "her husband always chimes in,
       even when he is not involved in the conversation" [syn:
       chime in, cut in, put in, butt in, chisel in,
       barge in, break in]
    4: interrupt a dancing couple in order to take one of them as
       one's own partner; "Jim always cuts in!"
    5: mix in with cutting motions

Moby Thesaurus II by Grady Ward, 1.0:

55 Moby Thesaurus words for "cut in":
   barge in, break in, break in upon, burst in, butt in, charge in,
   chime in, chip in, come between, crash, crash in, crash the gates,
   creep in, crowd in, edge in, elbow in, encroach, entrench,
   foist in, horn in, impinge, impose, impose on, impose upon,
   infiltrate, infringe, insinuate, interfere, interlope, interpose,
   interrupt, intervene, intrude, invade, irrupt, obtrude, press in,
   push in, put in, put on, put upon, rush in, slink in, slip in,
   smash in, sneak in, squeeze in, steal in, storm in, throng in,
   thrust in, trench, trespass, work in, worm in