Hot country that sounds cold (5)

I believe the answer is:

chile

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

'hot country' is the definition.
'chile' can be an answer for 'country' (Chile is a country). I am not sure about the 'hot' bit.

'sounds cold' is the wordplay.
'sounds' indicates a 'sounds like' (homophone) clue.
'cold' becomes 'chilly' (I've seen this before).
'chilly' is a homophone of 'CHILE'.

'that' acts as a link.

Can you help me to learn more?

(Other definitions for chile that I've seen before include "S American country, capital Santiago 95)" , "Long, thin country" , "Most southerly American country" , "Country liberated by Bernardo O'Higgins" , "S. American nation" .)

I've seen this clue in The Irish Independent.

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