Conlon was drafted onto the Clare senior team in advance of the 2009 National League. He made his first appearance for the team on 8 February 2009 when he was introduced as a substitute for Barry Nugent in a 3–13 to 1–18 first round defeat by Limerick. On 21 June 2009, Conlon made his Munster Championship debut when he was again introduced as a substitute in a 3–18 to 1–22 defeat by Tipperary. On 7 April 2012, Conlon lined out at left corner-forward when Clare faced Limerick in the National League Division 1B final. He scored a point from play and claimed his first silverware at senior level after the 0–21 to 1–16 victory. On 8 September 2013, Conlon was selected at right wing-forward when Clare qualified to play Cork in the All-Ireland final. He scored two points from play in the 0–25 to 3–16 draw.[18] The replay on 28 September 2013 also saw Conlon scored two points from right wing-forward before collecting a winners' medal following the 5–16 to 3–16 victory. Conlon was a regular starter during Clare's 2016 National League success, however, he missed the drawn final and the replay victory over Waterford after sustaining ankle ligament damage in the semi-final victory over Kilkenny. On 9 July 2017, Conlon was selected at left wing-forward for his first Munster final appearance. He scored two points from play but ended the game on the losing side after Clare suffered a 1–25 to 1–20 defeat by Cork. Conlon was selected at full-forward when Clare faced Cork in a second successive Munster final on 1 July 2018. He scored five points from play but ended on the losing side after a 2–24 to 3–19 defeat. Conlon ended the season by collecting his first GAA-GPA All-Star award. Conlon was appointed captain of the Clare senior team for the 2020 season. On 21 July 2024, he started in the half-back line as Clare won the All-Ireland for the first time in 11 years after an extra-time win against Cork by 3-29 to 1-34, claiming their fifth All-Ireland title.