Chris Clemons' layup with 52 seconds left brought Campbell within 67-65 after a 9-2 run. Justin Jones made a layup and Travis McConico made 1 of 2 foul shots and Charleston Southern (12-15, 7-9 Big South) led by five.
McConico fouled Clemons on his 3-point attempt with seven seconds left to shave the Camels' deficit to 70-68 before Christian Keeling sealed the win with a pair of free throws.
Keeling finished with 16 points with four 3-pointers, grabbed six rebounds and Jones finished 7-of-10 shooting from the field. Charleston Southern now has won four of its last five.
Campbell (15-13, 9-7) got 24 points from Chris Clemons, Andrew Eudy scored 18 and Marcus Burk had 13. Despite 38 percent shooting -- including 5 of 25 from distance -- Campbell stayed in it by shooting 21 of 24 from the foul line.
The recruiting landscape is heating up. Find out where the top 30 players in the 2019 ESPN 100 are headed next season.
James is the highest-ranked prospect to commit to the Vols under Rick Barnes and the highest overall since Tobias Harris in 2010.
Five-star point guard Josiah James, ranked No. 20 in the ESPN 100, has committed to Tennessee over Clemson, Duke and Michigan State.