to acquire, have, or exercise a monopoly of.

to obtain exclusive possession of; keep entirely to oneself

Children monopolize one's time.

verb

distribute , scatter , share

verb

absorb , acquire , bogart , consume , copyright , corner , corner the market , devour , employ , engross , exclude , exercise control , have , hog * , hold , keep to oneself , lock up , manage , own , own exclusively , patent , possess , restrain , sew up , sit on * , syndicate , take over , take up , use , utilize , engage , occupy , preempt , tie up , immerse , preoccupy , control , dominate , forestall , hog