Time went quickly, it's reported in complaint (4,3)
I believe the answer is:
bird flu
'complaint' is the definition.
(medical complaint)
'time went quickly it's reported' is the wordplay.
'time' becomes 'bird' (both are slang for a prison sentence).
'went quickly' becomes 'flew' (the time flew by).
'it's reported' shows a homophone (sound like).
'flew' is a homophone of 'flu'.
'bird'+'flu'='BIRD FLU'
'in' is the link.
(Other definitions for bird flu that I've seen before include "Poultry virus that can spread to humans" , "viral disease" , "Avian disease contractible by humans" , "Avian virus that can spread to humans" .)