Dickey also excelled in track and field, winning the NCAA championship in the 60 yard dash three times (1978–1980). Dickey was a World-Class sprinter. His 10.11 in the 100 meters was the sixth fastest time in the world in 1978. He also posted a personal best of 6.10 seconds in the 55 meters.
At the 1980 Southwest Texas Indoor Track and Field Championship, Dickey finished second behind Herkie Walls in the 60 yard dash (55 meters).
He also was a professional football player who was selected by the Baltimore Colts in the 1st round (5th overall) of the 1980 NFL Draft. A running back from Texas A&M, Dickey played in 7 NFL seasons from 1980–1986. In 1980, he was a rookie sensation for Baltimore when he rushed for 11 touchdowns. His best year as a pro came during the 1983 season for the Colts when he rushed for 1,122 yards and 4 touchdowns. Plagued with injuries throughout his career, Dickey retired after the 1986 season with the Cleveland Browns.