Fuller scored the go-ahead points on free throws and put back a miss for a 59-55 lead. Jio Fontan completed a three-point play on a spin move near the free throw line to make it 62-58, and the Trojans (5-8) held on for their second win in nine games.
Wise was ejected after he received two technical fouls at 5:29 of the second half.
USC took a 53-51 lead with 5.5 seconds remaining when Fontan scored. Dayton came out of a timeout, and Dillard fed Oliver for a layup as time expired on a play that was reviewed and upheld.