What it means
To sack it off means to ditch, cancel, or stop bothering with something because you can't be arsed anymore. You use it for plans, jobs, chores, texts, whole nights out, whatever's suddenly feeling like dead weight. It's very British, blunt, casual, and usually comes with that little mood of choosing peace over effort.
Usage examples
"Was gonna hit the gym after work, then Dave pinged about the pub. Sacked it off, grabbed a kebab, now I’m yelling at the telly."
"It's pouring down, shall we just sack off the walk and stay in?"
"We were meant to go into town, but everyone's skint and it's freezing, so we just sacked it off and ordered chips."
"I tried doing the admin this morning, looked at the inbox, sacked it off, made a brew, and accepted my fate."
"We were gonna sort the spare room today, took one look at the mess and sacked it off for a fry-up instead."
Where it comes from
It comes from British English sack in the sense of chucking something out or getting rid of it, the same root you hear in get the sack for being fired. By the late 20th century, sack off had settled into everyday UK slang for ditching a plan, task, or person you can't be bothered with.