First-half tries from Meabh Dealy, Dorothy Wall, Beth Buttimer and Ivana Kiripati put Clovers firmly in control and gave Warriors far too much to do.
Warriors enjoyed long periods of possession but handling errors and strong Irish defence meant pressure wasn't converted into points.
The hosts did get on the scoreboard just before the break through a great try by Izzy Hannay after a slick pass by Beth Blacklock.
Brianna Heylmann added another for Clovers after the break, but Beth Blacklock scored a fine individual effort after a well-timed pass from Megan Hyland.
Glasgow are back in action next weekend as they face Brython Thunder in Llanelli.