Green’s Dictionary of Slang

fart-arsed adj.

also fart-arse, fart-arseing
[fart-arse n.]

useless, incompetent, ‘half-baked’.

[UK]C. Harris Three-Ha’Pence to the Angel 127: Talk about the Black ’Ole of Calcutta: fine advert for a plumber if anyone comes to see ’im on business, this fart-arsed miserable glimmer.
[SA]C. Hope Separate Development 119: He takes the cash out of Black man’s pockets for his fart-arse zoot suits.
[UK]B. James Detective is Dead (1996) 39: His illness and the lay-off have gravely reconstituted all his fine, fart-arseing principles from fairy-land.
[Aus]J. Byrell Lairs, Urgers & Coat-Tuggers 198: ‘There’s no need to cattledog our ears, Mick. And you can cut out the fart-arse one-liners too’.
OnLine Dict. of Playground Sl. 🌐 fart-arse adj. When somebody fart arses around they waste time, or only put in half the effort. For example, ‘He did a fart-arsed job and I had to do it again after he finished!’.
T. Coleridge Martin Hubbel We Love You 15: [...] his work had none of the fart-arse timidity of other artists. He made a statement and made it beautifully.

In compounds