Dwarf getting cold after party (3)
I believe the answer is:
doc
'dwarf' is the definition.
(dwarf in Disney's Snow White and the Seven Dwarfs)
'cold after party' is the wordplay.
'cold' becomes 'C' (eg on taps).
'after' is a charade indicator (letters next to each other).
'party' becomes 'do' (do can informally mean a party).
'c' after 'do' is 'DOC'.
'getting' is the link.
(Other definitions for doc that I've seen before include "GP (informal)" , "Medic, in short" , "Consultant" , "Holliday (in 17 24)" , "scaled-down version of GP" .)