As a player, Skiverton started his career at Chelsea, failing to make a first-team appearance but made many reserve appearances, making Captain of the reserve team before moving to Wycombe Wanderers – initially on loan – and then dropping out of the football league by moving to Welling United. He finally retired with Yeovil in 2010. As captain, Skiverton took Yeovil into the Football League for the first time in their history. While playing for Yeovil in the Conference he was called up several times for the England Semi-Pro side and made four appearances.