Beineon joined Cork City's U17 team in July of 2016 but a year later, in the summer of 2017, he switched to the U17 side at nearby Cobh Ramblers. He announced himself at Ramblers with a volleyed goal against Limerick's U17s on 8 July and followed that up with a further five goals in his next two U17 games. He also made his senior debut as a substitute, in a 4-0 defeat away to Waterford FC on 21 July.