The Cougars (7-2) quickly opened a six-point lead in overtime on back-to-back three-point plays by Young and Thomas. A young jumper made the score 74-69 with 1:23 remaining, and Houston protected the lead at the free-throw line.
Omar Strong had 29 points and made eight 3-pointers for the Tigers (1-8).
J.J. Thompson had 10 points and six assists for Houston, which overcome a nine-point deficit in the final 3:49 of regulation to force overtime. Danuel House's 3-pointer with nine seconds to play tied the score at 66-all.
The second annual Gavitt Tipoff Games, eight games between members of the Big East and Big Ten to be played Nov. 14-18, will feature Villanova at Purdue in the opener.
Michael Lewis is leaving his assistant coaching job at Butler to take the same position at Nebraska under Tim Miles.
College basketball fans should be excited about next season's Jimmy V Classic, an event that will feature Duke's heralded freshman class.