He was a member of the Ireland team that won the bronze medal at the 2015 Men's EuroHockey Nations Championship.

[2] In 2003–04, together with his brother, Mark, and Michael Watt, Gleghorne was a member of the Instonians team that won the Irish Senior Cup, defeating Cork Harlequins 1–0 in the final.

[12] In 2015–16, along with Jonathan Bell, Sean Murray and Michael Watt, Gleghorne was a member of the Lisnagarvey team that won the Men's Irish Hockey League and the EY Champions Trophy.

[10][13][14] Gleghorne and Lisnagarvey also reached the final of the 2015–16 Irish Senior Cup but lost to Monkstown after a penalty shoot-out.

[10][21] Gleghorne was a member of the Ireland team that won the 2011 Men's Hockey Champions Challenge II.

[11][25] Gleghorne was also a member of the Ireland team that won the bronze medal at the 2015 Men's EuroHockey Nations Championship.

[32][33] In May 2018, Gleghorne made his 200th senior appearance for Ireland in a 1–1 with Germany[34] and later in the year played in the 2018 Men's Hockey World Cup.