Green’s Dictionary of Slang

dozey-arsed adj.

also dosey-arsed
[colloq. dozy + -arsed sfx (2)]

stupid, inferior.

[UK]M. Simpson ‘Prufrock Scoused’ Catching Up with Hist. 22: OK, so I’m a dosey-arsed bastid.
[UK]J. Joso Soothing Music for Stray Cats 104: My very first breakfast in the Big Smoke: bread and some dosey-arsed-excuse for butter.