Dodgy stocktaker, one noisily thumbing through papers? (7)
I believe the answer is:
rustler
I believe this is a double definition.
'dodgy stocktaker' is the first definition.
(someone who steals cattle ie stock)
'one noisily thumbing through papers?' is the second definition.
(someone rustling through papers)
(Other definitions for rustler that I've seen before include "Livestock thief" , "One who takes livestock" , "Cattle stealer" , "Horse thief" , "Stealer of livestock" .)