Loss of detective inspector’s looks (13)
I believe the answer is:
disappearance
'loss' is the definition.
(thesaurus)
'detective inspector's looks' is the wordplay.
I cannot really see how this works, but
'detective' could be 'di' (Detective Inspector abbreviation) and 'di' is present in the answer.
This may be the basis of clue (or it may be nonsense).
'of' is the link.
Can you help me to learn more?
(Other definitions for disappearance that I've seen before include "Vanishing act" , "Departure from view" , "fading" , "Act of becoming invisible" , "Exit (maybe into thin air)" .)