After trailing by as much as 18 in the second half, OU made a furious run, cutting the deficit to only six with Davis' three-pointer with 2:15 remaining.
That made it 70-62, and the Sooners couldn't get closer than that again, missing four straight shots on a sequence that featured three offensive rebounds with less than a minute to play.
Kentucky stormed out of the gates to a 21-8 lead in the first 5:22, but OU was strong for a bit after that.
The Sooners cut the Wildcats' advantage to five, using a 10-2 spurt over the next four minutes.
But that's when UK closed the half with momentum to take a 42-28 lead into the break.
The ‘Cats came out almost as strong in the second half, building that 18-point advantage before OU began to dig into it.
Davis had 23 points for the Sooners, while Jones was the high-point man for Kentucky with 29.
OU next plays Virginia at 3:30 p.m. Saturday in Maui.