After the Cougars (4-2) led 66-52 with 5:34 to play, the Buccaneers (2-4) reeled off 12 consecutive points. Saah Nimley and Arlon Harper, who finished with 20 points apiece, scored 10 of the Bucs' points in that run.
Harper buried a 3-pointer to make it a one-point game, 68-67, with 41 seconds left after Lawrence hit two free throws for the Cougars. Harper was unsuccessful on his next two 3-point tries, however, as Lawrence secured the game for College of Charleston with four free throws in the final 31 seconds.
The teams played at Charleston Southern's 881-seat Buccaneer Field House for the first time since 1992. Games hosted by Charleston Southern in the rivalry since then were played at the larger North Charleston Coliseum.
Former Kentucky guard Ed Davender, the only Wildcat with at least 1,500 points and 400 assists, has died. He was 49.
Guard Naz Mitrou-Long, whose 2015-16 season ended in December due to hip problems, has been granted a hardship waiver for the coming season, Iowa State said.
As the Sooners look to life without superstar Buddy Hield and his sidekicks, it's clear their unseasoned players will need to grow up fast.