The students had to come from behind and survive three yellow cards and a red to come out on top in this adapted rules fixture.
Oaks, playing uphill first half, went in front on 24 minutes with a try on the right from fly-half Lewis Barnaby after the university were reduced to 13 men with two yellow cards.
But, despite a numerical disadvantage, the students hit straight back with a try on the left from Tom Hancock.
It got better straight after the break when Matt Cates showed good pace and strength to score a fine try on the right.
In a match that saw a number of flare-ups, George Hamlin got Oaks back into the contest when he scored on the left.
The students were reduced in numbers again by the referee and Olly Whitfield picked up a loose ball and ran in to score to close the gap to 24-19.
But the visitors had the last word when Chris Nixon powered down the right wing to seal the win.