They are named for the suburb of Caversham to the southwest of Dunedin's city centre, best known for its former international sports venue Carisbrook.

Caversham AFC, however, are based not there but at Tonga Park, located one kilometre to the south in the suburb of Forbury.

Caversham had a poor 2018 by their standards in the ODT Football South Premier League, finishing fourth after eight games.

Caversham's clubrooms are located on the west side of the ground, on Surrey Street (45°54′10″S 170°29′25″E / 45.90278°S 170.49028°E / -45.90278; 170.49028).

Originally used for rugby league and known by a variety of names, including Mammoth Park, The Stadium, and The Speedway, it was renamed Tonga Park (the Māori word for south) after it was purchased by the Dunedin City Council in 1932.