Parrot with a cold in crop (5)
I believe the answer is:
macaw
'parrot' is the definition.
(type of parrot)
'a cold in crop' is the wordplay.
'cold' becomes 'C' (eg on taps).
'in' means one lot of letters goes inside another.
'crop' becomes 'maw' (I've seen this before).
'a'+'c'='ac'
'ac' put within 'maw' is 'MACAW'.
'with' acts as a link.
(Other definitions for macaw that I've seen before include "Avian chatterbox" , "Large colourful parrot" , "Brightly-coloured parrot" , "Largest parrot" , "brilliant winger" .)