Determined attempt to find Inspector Morse? (9)
I believe the answer is:
endeavour
I believe this is a double definition.
'determined attempt' is the first definition.
(I've seen this before)
'inspector morse?' is the second definition.
(Endeavour is Inspector Morse's first name)
'to find' acts as a link.
(Other definitions for endeavour that I've seen before include "Enterprise; earnest effort" , "Try to achieve something" , "Aspire; attempt" , "Attempt by employing effort" , "hard work" .)