Shaw tipped in a miss by Fred Payne with 0.5 seconds left to secure the 68-67 victory. Boston College took a 64-56 lead late but saw Juke Harris give Wake Forest the lead with 18.8 seconds remaining.
Harris finished with a career-high 38 points, but his teammates struggled shooting. Boston College's Fred Payne scored 23 points, and Boden Kapke added 13 and 10 rebounds.