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Rice with carp never right for cold area (3,3)

Ross

I believe the answer is:

ice cap

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

'area' is the definition.
(I have seen 'polar area' mean 'ice cap' so perhaps 'area' could also mean 'ice cap')

'rice with carp never right for cold' is the wordplay.
I cannot really understand how this works, but
'cold' could be 'ice' (I've seen this before) and 'ice' is present in the answer.
The remaining letters 'cap' 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).

Can you help me to learn more?

(Other definitions for ice cap that I've seen before include "Polar feature" , "Permanently frozen mountain-top mass" , "mountain peak, perhaps?" , "Cold mass permanently covering the polar regions or mountain peaks" , "Frozen polar region" .)

I've seen this clue in The Sun.
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