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.
Illinois, led by Malcolm Hill, Leron Black, and Mike Thorne, looks to make it back to the NCAA tourney after missing for three consecutive seasons.
NBA prospect Ben Simmons drains a 3-pointer while showing off his soccer skills with a rainbow kick.
Reggie Witherspoon, who spent more than 13 seasons coaching at Buffalo, is returning to the city to coach Canisius College.