Here you can drop off surveillance device, sucker! (6)
I believe the answer is:
'sucker' is the definition.
(bedbugs suck blood)
'here you can drop off surveillance device' is the wordplay.
'here you can drop off' becomes 'bed' (to drop off is to fall asleep).
'surveillance device' becomes 'bug' (I've seen this in another clue).
(Other definitions for bedbug that I've seen before include "It sucks your blood while you sleep" , "Insect in the mattress, perhaps?" , "Night-time bloodsucker" , "Sleeper biter?" , "Bloodsucking insect associated with dirty houses" .)