Clarke connected on three 3-pointers for Butler (24-7, 11-5 Atlantic 10), and converted 8 of 8 free-throw attempts.
Samaj Christon scored 20 points to lead Xavier (17-13, 9-10), and Isaiah Philmore scored 16 points and grabbed 11 rebounds.
Woods' effort helped Xavier build a 36-13 scoring advantage off the bench.
Butler's largest lead of the game was 10 points, Xavier's was 4.
Clarke scored 17 of his points in the second half. Woods totaled 10 of his points after intermission.
Cornhuskers coach Tim Miles confirmed to the Lincoln Journal Star that Andrew White III asked Nebraska athletic director Shawn Eichorst for his release Saturday.
A cameraman fell down trying to film Ben Simmons at the NBA Draft. Flashing back to his LSU days proves this is nothing new.
ESPN's Dan Dakich joins The Paul Finebaum Show to discuss the SEC's presence in the NBA Draft.