Underwear designed to inflame? No, to chill! (9)

I believe the answer is:

loincloth

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

'underwear designed' is the definition.
I can't judge whether this definition defines the answer.

'inflame? no to chill' is the wordplay.
'inflame?' indicates an anagram (I've seen 'inflamed' mean this).
'no'+'to'+'chill'='notochill'
'notochill' with letters rearranged gives 'LOINCLOTH'.

'to' acts as a link.

Can you help me to learn more?

(Other definitions for loincloth that I've seen before include "Sort of dhoti" , "Garment Indian may have" , "Minimum clothing?" , "Minimal garment" , "Simple garment" .)

I've seen this clue in the Sydney Morning Herald.

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