Screeney first played hurling to a high standard as a student at Coláiste Naomh Cormac. He scored 2-13 when the school team beat Hamilton High School to claim the All-Ireland PPS SBHC title in 2023.[2] Screeney's performances for the school resulted in his inclusion on the combined Offaly Schools team which also won the Leinster PPS SAHC in 2023.[3] He has also lined out for the University of Limerick.[4]
After progressing through the juvenile and underage ranks with the Kilcormac–Killoughey club, Screeney made his senior team debut in 2023. He ended the season with an Offaly SHC medal, while he was also the team's top scorer at county and provincial levels with 2-56.[5]