Coroner’s investigation of death during hunt (7)
I believe the answer is:
inquest
'coroner's investigation' is the definition.
(I've seen this before)
'during hunt' is the wordplay.
'during' becomes 'in' (I've seen this in other clues).
'hunt' becomes 'quest' (quest is a kind of hunt**).
'in'+'quest'='INQUEST'
'of death' is the link.
This may not be correct. Some or all of it may belong to another bit of the clue.
(Other definitions for inquest that I've seen before include "Enquiry into a death" , "What-went-wrong investigation" , "hearing" , "A coroner presides over it" , "Coroner's case" .)