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Even when less cold, it can still be one's choice of refreshment (4,3)

Ross

I believe the answer is:

choc ice

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

'even when less cold it can still be one's' is the definition.
I can't tell whether this definition defines the answer.

'choice of refreshment' is the wordplay.
I cannot quite understand how this works, but
an anagram of 'choice' is 'hocice' which is within the answer.
A single letter 'c' remains which might be clued in a way I don't see.
This explanation may well be incorrect...

Can you help me to learn more?

(Other definitions for choc ice that I've seen before include "Cold, coated confection" , "Sweet" , "Usherette may offer this" , "Something to eat" , "dessert" .)

I've seen this clue in the Evening Standard.
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