Skeels joined Stoke City in 1959 and soon established himself and an indispensable member of Tony Waddington's starting eleven. He was able to play in all outfield positions and became known for his consistency and racked up a club record 597 appearances. During his 17-year spell at the Victoria Ground he helped Stoke to win the Second Division in 1962–63, finish as runner-up of the League Cup in 1964, before winning the competition in 1972 he also helped them to reach the semi-final of the FA Cup in 1970–71 and 1971–72. He left for American side Seattle Sounders in 1976 before spending a short spell back in Stoke-on-Trent with Port Vale. He then became a pub landlord and played occasionally for Leek Town.