Cline made four of Richmond's six 3-pointers and Jones scored six points in the final three minutes.
Terry Allen had 12 points and 10 rebounds for Richmond (15-12, 8-6 Atlantic 10). Allen and Cline had four steals apiece as the Spiders totaled 11, leading to 14 George Washington turnovers.
Richmond led by as many as 11 points in the second half after Kendall Anthony's 3-pointer with 12:57 left.
Savage's basket with 2:23 left got George Washington within 50-46, but the Colonials wouldn't hit another field goal and Richmond made 4 of 4 free throws in the final minute.