Crossword Genius

Engaged - or already married? (4,2)

Ross

I believe the answer is:

tied up

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

'engaged' is the definition.
(synonyms)

'already married?' is the wordplay.
I cannot really understand how this works, but
'married?' could be 'tied' ('tie' can be a synonym of 'marry') and 'tied' is located in the answer.
The remaining letters 'up' is a valid word which might be clued in a way I don't understand.
This may be the basis of the clue (or it may be nonsense).

'or' acts as a link.

Can you help me to learn more?

(Other definitions for tied up that I've seen before include "Secured; engaged" , "Thus prisoner may be kept" , "busy" .)

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