Catching the last of criminals' accessories (9)
I believe the answer is:
trappings
'accessories' is the definition.
(thesaurus)
'catching the last of criminals'' is the wordplay.
'catching' becomes 'trapping' (trapping is a kind of catching).
'the last of' indicates one should take the final letters.
The final letter of 'criminals' is 's'.
'trapping'+'s'='TRAPPINGS'
(Other definitions for trappings that I've seen before include "Bells and whistles" , "Clobber" , "signs of success" , "office equipment" , "harness" .)