Harry Gee played around thirty league games for Exeter City in 1927/1928. He joined the club from New Brighton and later played for Runcorn.

After playing for Haydock St James and Newton Common Rec, Harry signed for Burnley as an amateur before soon agreeing professional terms. He eventually featured in five league matches for the Turf Moor club ahead of moving to New Brighton in 1923. Spending three seasons with the Rakers alongside former Grecians Allan Mathieson and George Shelton, Harry appeared in over 80 league games for the Wirral-based club.

Joining Exeter City in the summer of 1927, Harry made his debut in the second game of the season at Crystal Palace before going on to win a regular place in the team until the following March when he sustained a broken ankle in a game against Bristol Rovers which was to end his playing career in the Football League. 

Receiving £280 compensation, which amounted to more a year’s wages, Harry returned to the North West to sign for Runcorn and to start a tobacconist and newsagent business in New Brighton. By 1950 he was a Wallasey Borough councillor and a prominent local Crown Green bowler.