Reeves was drafted into the first team squad at Sheffield Wednesday in 1986 aged 18. He played just under 20 first team games for The Owls while at the club between 1986 and 1989 and while at Hillsborough he spent time on loan with Scunthorpe United.
Upon retiring from the game Reeves took up a position on the coaching staff at former club Gainsborough Trinity. He later took up the position of Assistant Manager. Reeves remained the club's Assistant Manager until late August 2009. Following the dismissal of manager Steve Charles, Reeves and coach Steve Blatherwick were given temporary charge of first team affairs in a caretaker role. But after one game in charge, Reeves and Blatherwick departed the club.
Personal life
His twin brother Alan was also a professional footballer, most notably with Rochdale, Wimbledon and Swindon Town. Dave was encouraged by his auntie Mary Burgess and uncle David Burgess to keep his football up from the young age of seven when they placed him in a local football club. He is married to Julie and has a daughter Jessica.