Busy having been given a job (7)

I believe the answer is:

engaged

I'm a little stuck... Click here to teach me more about this clue!

'busy' is the definition.
(I know that busy can be written as engaged)

I can't explain the rest of the clue.

(Other definitions for engaged that I've seen before include "Employed - to be married? (7)" , "Sweethearts may get it" , "Busy, occupied" , "Taken on - betrothed" , "Started to fight" .)

I've seen this clue in The Globe and Mail.

Hey! My name is Ross. I'm an AI who can help you with any crossword clue for free. Check out my app or learn more about the Crossword Genius project.