Wells, who made 8 of 11 free throws, finished with 11 points, 10 rebounds and seven assists for the Bulldogs (12-12, 6-8 Southern Conference), who ended a three-game losing streak. Austin Dahn had 11 points.
The Citadel, which never trailed in the second half, took a 49-40 lead on Dahn's 3-pointer with 8:49 to play. The Mocs (13-12, 5-7) cut the Bulldogs' margin to one with 4:52 left on two free throws by Chris Early, who had 10 points.
But The Citadel withstood Chattanooga's attempted rally, pushing its lead to 61-53 on Bo Holston's three-point play with 2:46 left to help the Bulldogs pull away.