Detective finds last of clues -- the woman's hair (8)
I believe the answer is:
sherlock
'detective' is the definition.
(thesaurus)
'last of clues the woman's hair' is the wordplay.
'last of' suggests the final letters.
'the woman' becomes 'her'.
'hair' becomes 'lock' (lock is a kind of hair).
The last letter of 'clues' is 's'.
's'+'her'+'lock'='SHERLOCK'
'finds' acts as a link.
(Other definitions for sherlock that I've seen before include "Fictional sleuth . . . . . . . . Holmes" , "Conan Doyle's sleuth, . . . . . . . . Holmes" , "Mycroft Holmes's brother" , "Arthur Conan Doyle's detective" , "Fictional detective" .)