Stop, giving cold comfort (5)
'stop' is the definition.
('cease' can be a synonym of 'stop')
'giving cold comfort' is the wordplay.
'giving' is a charade indicator (letters next to each other).
'cold' becomes 'c' (eg on taps).
'comfort' becomes 'ease' (easing is a kind of comforting).
'c' put next to 'ease' is 'CEASE'.
(Other definitions for cease that I've seen before include "Discontinue" , "Culminate" , "Come to an end" , "Stop, terminate" , "Stop, give over" .)
(Other definitions for ease that I've seen before include "Comfort; facility" , "Comfort and naturalness" , "Rest and leisure" , "Comfort and repose" , "Poise or leisure" .)