Green’s Dictionary of Slang

mopper-up n.

[they ‘mop up’ liquor]

(Aus.) a drunkard.

[Aus]W.H. Downing Digger Dialects 34: mopper-up [...] (2) a drunkard.
[Aus](con. WWI) A.G. Pretty Gloss. Sl. [...] in the A.I.F. 1921–1924 (rev. t/s) n.p.: mopper-up. A drunkard.
[UK]‘William Juniper’ True Drunkard’s Delight.