One local, full of cold, is doing nothing (8)
I believe the answer is:
inactive
'doing nothing' is the definition.
(I've seen this before)
'one local full of cold' is the wordplay.
'one' becomes 'i' (Roman numeral).
'local' becomes 'native' ('native' can be similar in meaning to 'local'**).
'full of' means one lot of letters goes inside another.
'cold' becomes 'c' (eg on taps).
'native' going around 'c' is 'nactive'.
'i'+'nactive'='INACTIVE'
'is' is the link.
(Other definitions for inactive that I've seen before include "Immobile, not working" , "Resting" , "Having no effect" , "Passive, doing nothing" , "Unoccupied" .)