Born in Chegutu, Zimbabwe, Terrence began playing football at a junior level in is hometown. At the age of 20, the attacking midfielder moved to Ngezi Village where he played for Ngezi Platinum Stars in Division 1. It was in 2016 when Dzvukamanja had his first professional start and it was not long afterwards that he was spotted and signed by Bidvest Wits. After spending two seasons with The Clever Boys, Terrence signed for Orlando Pirates in 2020.

Dzvukamanja has high ambitions with the Buccaneers, and commits to helping his team win trophies. With his sights set on Europe, Terrence knows he needs to fight to represent the Sea Robbers in the best possible way first.