cut in is a verb meaning "allow someone to have a share or profit". It carries 5 recorded senses.
allow someone to have a share or profit
drive in front of another vehicle leaving too little space for that vehicle to maneuver comfortably
interrupt a dancing couple in order to take one of them as one's own partner
“Jim always cuts in!”
mix in with cutting motions
Definitions, synonyms and semantic relations for cut in come from Princeton University’s WordNet. Commonness is measured against a corpus of everyday English. Full sources and licences.