Crossword Genius

Having given a hand was fully occupied (7)

Ross

I believe the answer is:

engaged

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'fully occupied' is the definition.
(I've seen this before)

I don't understand how the remainder of the clue works.

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(Other definitions for engaged that I've seen before include "Formally committed to marriage" , "Absorbed" , "Promised - book - fighting" , "Plighted; hired" , "Spoken for" .)

I've seen this clue in The Irish News.
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