Stop providing cold comfort (5)
I believe the answer is:
cease
'stop' is the definition.
(I know that stop can be written as cease)
'cold comfort' is the wordplay.
'cold' becomes 'C' (eg on taps).
'comfort' becomes 'ease' (easing is a kind of comforting).
'c'+'ease'='CEASE'
'providing' acts as a link.
(Other definitions for cease that I've seen before include "Come to an end" , "Political group" , "Finish, end" , "Stop, finish" , "Culminate" .)