Brittany Styner broke a tie midway through the third period, and Clarkson held on for a 2-1 victory over Princeton on Friday.
Kali Gillanders gave the Golden Knights a 1-0 lead in the second period, but Brianna Leahy answered for the Tigers.
Erica Howe stopped 24 shots for Clarkson. Rachel Weber made 22 saves for Princeton.