Clohosey also represented the Leinster inter-provincial team on a number of occasions, winning one Railway Cup medal.
On 31 August 1952, Clohessy lined out at right wing-forward when Tullaroan qualified to play Bennettsbridge in the Kilkenny Senior Championship final.
He won a Leinster Championship medal as a member of the extended panel on 11 July 1948 following Kilkenny's 5-02 to 3-06 defeat of Offaly in the final.
Clohessy was again a member of the extended panel when Kilkenny suffered a 3-08 to 4-02 defeat by Waterford in the All-Ireland final on 5 September 1948.
Clohessy, who was then based as a bank official in Killorglin, County Kerry, was later dropped from the team due to the difficulty with travel arrangements in getting him to games.
He made his Leinster Championship debut on 21 June 1953 and scored a point from play in a 3-11 to 4-08 draw with Dublin.
Clohessy won a Leinster Championship medal on 19 July 1953 when he again scored a point in the 1-13 to 3-05 defeat of Wexford in the final.
Clohesy was again Kilkenny's top scorer with 1-02 for the replay on 31 July 1955, however, he ended the game on the losing side after a 5-06 to 3-09 defeat.
[4] Clohessy was named at left corner-forward when Kilkenny faced Wexford in a fourth successive Leinster final on 27 July 1958.
Clohessy was again at left wing-forward for the replay on 4 October 1959, however, he ended the game on the losing side after suffering a 3-12 to 1-10 defeat.
He scored a point from play and claimed a winners' medal following the 1-16 to 1-08 victory and a first league title for Kilkenny since 1933.