His league and championship career with the Tipperary senior team lasted twelve seasons from 1985 to 1997.
Sheehy made his debut on the inter-county scene when he was selected for the Tipperary minor team.
He enjoyed two championship seasons with the minor team, culminating with the winning of an All-Ireland medal in 1982.
Over the course of the following twelve seasons Sheehy enjoyed much success, culminating with the winning of an All-Ireland medals in 1989 and 1991.
After being chosen on the Munster inter-provincial team for the first time in 1988, Sheehy was an automatic choice on the starting fifteen for a number of years.