Waye played a total of 71 games for Sturt from his debut in 1903 to his last season in 1910. Strong around the ruck and in front of goal, Waye won a Magarey Medal in his debut season. He also topped his club's goalkicking five times during his career. At interstate level he represented South Australia regularly, appearing in a total of eight games. He occupies a forward pocket in Sturt's official "Team of the Century".
On 14 August 2011, Waye was selected in the Southern Football League's 125th anniversary team in the forward pocket and second ruck due to his service for the Willunga Football Club. Waye was the only player selected in both the SFL's Greatest Team and Greatest Exports Team.
Taffy Waye was known to ride 25 miles on horseback from Willunga to Unley to train and play for Sturt in 1903, regularly filling in for Willunga between league games at Sturt.