The Eagles (10-11, 2-6 Atlantic Coast Conference) surpassed their victory total of last season, when they went 9-22.
Lonnie Jackson added 14 points and Ryan Anderson 12 for Boston College.
Devin Booker scored 20 points and became the 36th player in Clemson history to reach the 1,000-point plateau, joining older brother Trevor (2009) as the second brother combo in school history. Randy and Richie Mahaffey did it in the 1960s.
The Tigers (12-9, 4-5) were shooting near 30 percent until they started to hit from long range in the closing 7 minutes, but it came too late.
Milton Jennings had 13 points and Jordan Roper 11 for the Tigers, who had won their last two games.