From 1986 to 1989, Chaump coached at Marshall, where he compiled a 33–16–1 record. This record includes back-to-back ten-win seasons in 1987 and 1988. From 1990 to 1994, he coached at Navy, where he compiled a 14–41 record. He was previously the quarterbacks coach at Ohio State under head coach Woody Hayes. He was also a running backs coach for the Tampa Bay Buccaneers. Starting in the 2011 season, Chaump has been head coach of the Central Dauphin East High School football team in Harrisburg, Pennsylvania.