First recorded by Kai Winding (1963).
Hit versions by Irma Thomas (US #52 1964), The Rolling Stones (US #6/AUS #4 1964 |UK #64 1982).
From the wiki: “Kai Winding session arranger Garry Sherman contacted songwriter friend and colleague Jerry Ragovoy (‘Piece of My Heart‘) after Kai had expressed an interest in going in a more commercial and rhythmic direction. But Ragovoy had thought of no lyrics for the song other than ‘Time is on my side’. Produced by Creed Taylor and engineered by Phil Ramone, and including background vocals by Cissy Houston, Dionne Warwick and Dee Dee Warwick, ‘Time Is On My Side’ was released on the Verve Records label in October 1963.