Crossword Genius

Act like a woman whose little hand is frozen with cold (5)

Ross

I believe the answer is:

mimic

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

'act like' is the definition.
(I've seen this in another clue)

'a woman whose little hand is frozen with cold' is the wordplay.
I cannot quite understand how this works, but
'woman' could be 'mimi' and 'mimi' is found within the answer.
'cold' could be 'c' (abbreviation, eg on taps) and 'c' is present in the answer.
This accounts for all the letters.
This explanation may well be incorrect...

Can you help me to learn more?

(Other definitions for mimic that I've seen before include "Impersonator" , "Imitate in order to ridicule" , "Skilled imitator" , "Imitate, especially for satirical effect" , "Appear just like" .)

I've seen this clue in The Independent.
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