If you have the time and curiosity to cross the river, you definitely should visit the Brixton Distillery.

17a Electric Ln, Brixton, London SW9 8LA 

Nearest tube station is Brixton (Victoria line). Also, if you haven’t yet had the chance to visit the Rum Kitchen for lunch or dinner? 15min walk (approx 0,6 miles) you can visit their Brixton restaurant at Coldharbour lane.

https://www.brixtondistillery.com/about/