Unable to break into the first team, he moved back to his native Scotland in 1984 to sign with Clydebank on a free transfer.
He spent three years at Elm Park, before moving to Burnley in 1991, where the most prolific scoring period of his career would begin.
He went on to score 22 goals in 57 appearances for North End and briefly played alongside a young David Beckham.
After three years in London, Conroy moved back to Lancashire to join Blackpool for a £50,000 fee.
Conroy was senior coach at Doncaster Rovers Soccer Club in the Victorian State League Division 2.