Conroy took up rugby relatively late, at the age of 18, after having dabbled in athletics and soccer. Conroy played his club rugby for Tullamore in Division 2C of the All-Ireland League in the 2015-16 season, where he scored the fastest try in league history. Conroy played the 2016-17 season with Buccaneers RFC in Division 1-B of the All-Ireland League, scoring 18 tries during the season, and helping the club gain promotion to Division 1-A for the 2017-18 season. Conroy was named the 2016-17 Connacht Club Player of the Year, and Division 1-B player of the year. Conroy also played for the Connacht Eagles in the British and Irish Cup.
Ireland sevens team
Conroy appeared with the Ireland national rugby sevens team in 2016 at the Amsterdam 7s and Newcastle 7s tournaments. Conroy played for Ireland during the Rugby Europe2017 Sevens Grand Prix Series. He played in the 2017 Moscow Sevens tournament, where his contributions in both attack and defence were noted. At the 2017 Lodz Sevens, Conroy was Ireland's leading try-scorer with six tries, scoring a try in each match. At the 2017 Clermont-Ferrand Sevens, Conroy was noted for his outstanding performance, scoring in the semifinal against Spain and scoring twice in the 17-14 win against Russia in the final to win the tournament. Conroy scored six tries at the 2017 Exeter Sevens and received the Player of the Tournament award, beating out Ireland teammate Harry McNulty. Conroy missed the 2018 Hong Kong Sevens, but returned for the 2018 Grand Prix Sevens. In the first Grand Prix tournament, the 2018 Moscow Sevens, Conroy scored eight tries during the tournament, including four in the semifinal against France. Conroy drew significant attention for his performance in the 2018 London Sevens, where he scored eight tries during the tournament. His three tries in Ireland’s 21—19 victory over England helped Ireland achieve a third place finish. He was selected to the tournament Dream Team at the conclusion of the tournament. At the 2019 Hong Kong Sevens qualifier for the 2019–20 season, Conroy led all try scorers with 10 tries in the tournament, earning the Player of the Tournament award. His try-scoring included a hat-trick in pool play against Russia, and two key tries in a tight 19–10 come-from-behind win in the semifinal against Germany. Conroy began the 2019-20 World Series at the 2019 Dubai Sevens where he led all players with seven tries and made the tournament Dream Team.
