The Cougars were clinging to a 77-76 lead with under a minute to go when Gibson grabbed an offensive rebound and dunked to put Houston up by three with 49 seconds left.
Florida A&M's Jamie Adams missed a 3-pointer, Thomas added one of his five blocks and J.J. Thompson sank two free throws after a steal to seal the win. Jherrod Stiggers added 19 points for the Cougars and Gibson also had 10 rebounds.
Florida A&M led by one at the half and scored the first five points of the second half to go up 40-34. Instead, the Cougars climbed back into it behind Gibson and Thomas.
Adams and Reggie Lewis led the Rattlers with 18 points each.
Andrew White III will return to the Nebraska men's basketball team next season after removing his name from the NBA draft.
Mike Brey is looking at former Notre Dame players to fill two assistant jobs that have opened up with the departures of Martin Ingelsby and Anthony Solomon.
Purdue's 2016-17 prospects got a jolt Wednesday when forward Caleb Swanigan announced he will return for his sophomore season.
|South Carolina State||12-4||1||19-15|
|North Carolina Central||7-9||6||13-19|
|North Carolina A&T||7-9||6||10-22|