A boyhood fan of Shamrock Rovers, Dunne was overlooked by the club before joining Home Farm after a successful trial.
Dunne's Shelbourne career yielded a League of Ireland title in 1962 and two FAI Cup medals in 1960 and 1963 when he captained the team.
He had a long association with UCD and was in charge when they shocked Shamrock Rovers to win the FAI Cup in 1984.
His son, Tommy Dunne, also won League of Ireland and FAI Cup medals before becoming involved in team management.
His grandson Gavin Molloy is also a footballer who captained Shelbourne and now plays for Aberdeen.