McGlockton was a High School All-American as a Tight End/Defensive Lineman at Whiteville High School in Whiteville, North Carolina. He played Varsity Football all four years. During his senior year he led the Whiteville Wolfpack to a 15-0 record, a State Championship, and a USA Today National Ranking.
McGlockton was drafted by the Los Angeles Raiders in the 1st round (16th overall) of the 1992 NFL Draft. He played six seasons with the Raiders, earning all four of his Pro Bowl appearances with them. McGlockton also played for the Kansas City Chiefs, the Denver Broncos, and ended his career by playing one season with the New York Jets. McGlockton finished his NFL career with 51 sacks including a career season high of 9.5 in 1994.