One centigrade close to temperature limit for cold surface (3,3)
I believe the answer is:
ice cap
'cold surface' is the definition.
(surface made up of ice)
'one centigrade close to temperature limit' is the wordplay.
'one' becomes 'i' (Roman numeral).
'centigrade' becomes 'c' (synonyms).
'close to' suggests the final letters (the 'close' to the word).
'limit' becomes 'cap' (capping is a kind of limiting).
The final letter of 'temperature' is 'e'.
'i'+'c'+'e'+'cap'='ICE-CAP'
'for' is the link.
(Other definitions for ice cap that I've seen before include "mountain peak, perhaps?" , "Cold mass permanently covering the polar regions or mountain peaks" , "Permanently frozen mountain-top mass" , "Frozen polar region" , "Polar feature" .)