He made a school-record 90 3-pointers last year and shot 39.2 percent from 3-point range, second in the Pac-12.
The Clippers shot 35.2 percent from beyond the arc last season, 22nd in the league.
Wilcox also finished second in school history with 1,880 points. He shot 43.3 percent from the field and 84 percent from the free-throw line in his college career.
NBA gives Baylor's Austin his draft moment
Between the 15th and 16th picks in Thursday night's draft came a very special selection by the NBA.
Commissioner Adam Silver announced at that point that the NBA would let Isaiah Austin fulfill the dream of every young player, making him a ceremonial pick.
Just over a week ago, the sophomore center from Baylor was diagnosed with Marfan syndrome, a rare genetic disorder that affects the heart. It ended his playing career.
The illness was discovered during a physical for the draft.
"For Commissioner Silver to even invite me here was a tremendous blessing and it just shows how much class that man has," Austin said. "It's really been a tough week for me, and it's been really rough. I've just had a tremendous amount of support from everybody around the world, telling me they're praying for me and everything. I can't thank everybody enough."
The crowd at Barclays Center rose to its feet as Austin, sitting in the waiting area with most of the first-round picks, hugged family members and put on a generic NBA cap. He went up to the stage and posed with Silver, just as all the drafts picks do when they are called.
During the season, the 7-foot-1 Austin revealed he had a prosthetic right eye after multiple operations couldn't repair a detached retina.
Austin, expected to be a high pick when healthy, said he felt he has "a great story to share." He said Baylor coach Scott Drew has already offered him a coaching position with the Bears.