Rice came out as cold treat (3,5)

I believe the answer is:

ice cream

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'cold treat' is the definition.
'ice cream' can be an answer for 'treat'. I'm not sure about the 'cold' bit.

'rice came out' is the wordplay.
'out' is an anagram indicator (out can mean wrong or inaccurate).
'rice'+'came'='ricecame'
'ricecame' with letters rearranged gives 'ICE-CREAM'.

'as' is the link.

Can you help me to learn more?

(Other definitions for ice cream that I've seen before include "Frozen food made with milk fat" , "Creamy frozen confection, best in summer" , "Party food" , "cone?" , "Cool summer confection" .)

I've seen this clue in The Sun.

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