Clanton's round included one double bogey, one bogey, three birdies and one eagle to go with 12 pars.
Candace Schepperle, a sophomore, finished at 74, one stroke ahead of senior Margaret Shirley.
Junior Mariana Macias and freshman Sarah Thead each shot a 77. The Tigers only had to count one of the 77s because only the four best scores are counted for the team total.
Wake Forest is eighth at 10-over-par. Georgia is in ninth at 11-over-par and one place below the cut line.
Louisville's Sara-Maude Juneau shot the low round of 67, one stroke better than Duke's Amanda Blumenherst and South Carolina's Benedicte Toumpsin.
Auburn is back in action on Friday with a 12:20 p.m. CDT tee time.
"We had a real solid start and fell a little on number nine, our last hole," said Auburn coach Kim Evans, whose team began play on the back nine. "It was a solid start with a good look at tomorrow."