Crossword Genius

Dismissive description of eg Libya's fair punishment? (4,7)

Ross

I believe the answer is:

just deserts

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

'punishment?' is the definition.
(thesaurus)

'dismissive description of eg libya's fair' is the wordplay.
I cannot really understand how this works, but
'fair' could be 'just' (Synonym) and 'just' is located in the answer.
The remaining letters 'deserts' is a valid word which might be clued in a way I don't see.
This may be the basis of the clue (or it may be nonsense).

Can you help me to learn more?

(Other definitions for just deserts that I've seen before include "Fate or results one deserves" , "Fair fate - rightful reward" , "What one has coming" .)

I've seen this clue in The Times.
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