Green’s Dictionary of Slang

common sewer n.

[play on SE common sewer, into which everything is poured]

1. the throat.

[UK]‘William Juniper’ True Drunkard’s Delight 243: The throat, which is also known as [...] common sewer.

2. a drunkard.

[UK]Partridge DSUE (8th edn) 246/1: mid C.19–early 20.

3. a drink.

[UK]Hotten Dict. of Modern Sl. etc. (2nd edn).
[UK]Hotten Sl. Dict.
[UK]Sl. Dict.