Spencer finished with 14 points and 11 boards and Lee Skinner scored 11 for Wofford in a game that remained close throughout and featured 10 lead changes.
Georgia Southern (11-17, 5-10 Southern Conference), who fell to Wofford 71-53 Jan. 12, took its largest lead 40-36 on a C.J. Reed 3-pointer with 7:32 to play. But Georgia Southern used a 10-2 run over the next 5 minutes to surge ahead 46-42. Cochran capped the run with back-to-back layups.
The Eagles cut it to one, 48-47, one Cleon Roberts' three-point play with 1:22 showing, but Skinner answered with a three-point play of his own to seal it.
Wofford (12-17, 6-10) outrebounded Georgia Southern 40-31 and scored 11 second-chance points.
Eric Ferguson paced the Eagles with 11 points.
Purdue coach Matt Painter says players haven't used the fifth-year graduate transfer rule for its true intent.
The 2017 recruiting class is short on point guards, with Trevon Duval leading only eight prospects from the ESPN 60 who are still available.
The dust has settled after players made their NBA draft decisions. Which college teams won? Which lost? Well, Villanova is pretty happy. USC, meanwhile, might not be as thrilled.