The Huskies led from the beginning but Charleston would not quit. Adjehi Baru completed a three-point play and Evan Bailey nailed a trey to tie at 59 with 2:12 remaining. The Huskies scored five straight to lead 64-59 with 35 seconds left.
Charleston's Joe Chealey made two free throws to close to 64-61. Eatherton made two to extend the lead, and sank two more to seal the win.
Chealey had 23 points and seven assists, Baru added 13 and Canyon Barry had 11 for Charleston (6-13, 1-5).