Extremely cold, some climb it in Garmisch (6)

I believe the answer is:

biting

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'extremely cold' is the definition.
'biting' can be an answer for 'cold' (similar in meaning). I'm not sure about the 'extremely' bit.

'some climb it in garmisch' is the wordplay.
'some' indicates the answer is hidden within the clue (some of the parts of the word are used).
'BITING' is hidden within 'climb it in garmisch'.

Can you help me to learn more?

(Other definitions for biting that I've seen before include "Caustic or cutting - like teeth?" , "Mordant" , "Acerbic" , "Cold - tart" , "Keen" .)

I've seen this clue in The Telegraph.

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