Farad Cobb chipped in with 16 points to help the Mocs (6-9, 1-1).
Tied at 51 with 13:29 left to play, the Mocs went on an 18-10 run to take a 69-61 lead with 4:48 remaining.
Samford (3-12, 1-1) responded with a 9-3 run capped by Raijon Kelly's jumper that made it 72-70 with 2:22 to play.
Both teams went cold from the field over the final 2 minutes. Connor Miller, Clide Geffrard Jr. and Kelly all missed potential go-ahead shots for Samford in the final 1:45, and then Ronrico White connected on two free throws to seal the victory for Chattanooga.
The Mocs were efficient, shooting 57.8 percent (26 for 45) for the game.
Kelly led all scorers with 27 points.
High school junior Zach Brown, a 7-footer from Miami, has rescinded his commitment to UConn, sources told ESPN.
Reserve center Akolda Manyang has been charged with felony aggravated assault after being accused of punching a man in the face without provocation.
Should the 76ers take Ben Simmons No. 1? What if they get the Lakers' pick, too? And how does the rest of the top 10 shake out? Our Insiders run their latest mock draft, with Philly on the clock.