Individual in pursuit of cold ice-cream (4)
I believe the answer is:
cone
'ice-cream' is the definition.
(I've seen this in other clues)
'individual in pursuit of cold' is the wordplay.
'individual' becomes 'one'.
'in pursuit of' is a charade indicator (letters next to each other).
'cold' becomes 'c' (eg on taps).
'one' put after 'c' is 'CONE'.
(Other definitions for cone that I've seen before include "may obstruct lane" , "Something dropped from tree" , "Road works marker" , "99, maybe" , "Element of geometry" .)