Kadji's shot with 34.7 seconds left came after he had misfired on his first five attempts from 3-point range. The Hurricanes (21-3, 12-0 ACC) managed to connect on only 3-of-19 long-distance tries as a team.
They held on for the win when Clemson's Rod Hall missed a lay-in and K.J. McDaniel couldn't put in a tip attempt at the buzzer.
Jordan Roper led the Tigers (13-12, 5-8 ACC) with 19 points. Devin Booker had 11 points and 10 rebounds.