Green’s Dictionary of Slang

Cave of Harmony n.

the Cider Cellars or Evans’s supper rooms and singing saloon in London.

[UK]Thackeray Newcomes I 242: Bellew has seceded, and seduced the four best singing boys, who now perform glees at the Cave of Harmony.
[UK]G.A. Sala Twice Round the Clock 338: We will go sup at Evans’s [...] We descend a flight of some steps, pass through a vestibule, and enter the ‘Cave of Harmony.’.
[UK]Hotten Sl. Dict.
[UK] (ref. to mid-19C) W. Matthews Cockney Past and Present 84: Colonel Newcome’s disgust at the song which he heard at one of these Caves of Harmony [i.e. the Coal Hole or Cider Cellars] must have been well justified.