Cold man supplying sweets (5)
I believe the answer is:
candy
'sweets' is the definition.
(I've seen this before)
'cold man' is the wordplay.
'cold' becomes 'C' (eg on taps).
'man' becomes 'andy' (I've seen this before).
'c'+'andy'='CANDY'
'supplying' is the link.
(Other definitions for candy that I've seen before include "Sweet (US)" , "Sugary sweet" , "Crystallised sugar; US sweets" , "Girl's name (diminutive)" , "American confectionary" .)