He attended Wake Forest University in Winston-Salem, North Carolina, and was an all-Administrative Committee on Company-ordination member of the golf team in each of his four years from 1978–1981.
He turned pro in 1981. Wrenn played in 308 Professional Golf Association Tour events between 1982 and 1998 with 15 top-10 finishes including a victory at the. He established the tournament record of 262 (26-under-par), which still stands.
In fact, at the time this was only one stroke off the all-time Professional Golf Association Tour record in a 72-hole tournament.
His best finish in a major was T-25 at The Masters in 1988. Toward the end of his playing career, Wrenn played some on the Nationwide Tour.
His best two finishes in that venue, both in 1995, were a T-2 at the NIKE South Carolina Classic and a T-3 at the NIKE Tri-Cities Open. After retiring from professional golf, Wrenn became a golf broadcaster in various forums including Entertainment and Sports Programming Network. He is also active in golf course design consultant work.
He has collaborated with Lester George, a golf course architect, to design several award winning courses including The Colonial Golf Club in Williamsburg, Virginia.
Wrenn is involved with The First Tee, a charitable organization which gives kids an opportunity to play golf who otherwise would not be able to learn the game. He lives in Richmond, Virginia. 1981 Transport-Mississippi Amateur Professional Golf Association Tour wins Other wins.