The Hurricanes (21-3, 12-0) finished with their fewest points of the season, and their high-scoring guard duo of Durand Scott and Shane Larkin were a combined 3-of-16 shooting for 10 points. Still, Miami pulled it out on Kadji's wide-open 3.
Clemson (13-12, 5-8) had three chances to answer back, but Rod Hall was called for an offensive foul on one trip and, after Trey McKinney Jones made a foul shot, Hall missed a layup and K.J. McDaniels failed on a tip.
The Hurricanes hugged each other when the horn sounded, grateful to escape and continue the league's longest undefeated start since Duke went 16-0 in 1998-99.