Produced rap video to give them more than their due (8)

I believe the answer is:

overpaid

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'give them more than their due' is the definition.
I can't judge whether this defines the answer.

'produced rap video' is the wordplay.
'produced' is an anagram indicator.
'rap'+'video'='rapvideo'
'rapvideo' is an anagram of 'OVERPAID'.

'to' acts as a link.

Can you help me to learn more?

(Other definitions for overpaid that I've seen before include "Rewarded too well" , "excessively remunerated" , "Too highly rewarded" , "Given too high a salary" , "Given too much money" .)

I've seen this clue in the Irish Times.

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