Flogged rotter around Nebraska (5)
I believe the answer is:
caned
'flogged' is the definition.
('cane' can be a synonym of 'flog')
'rotter around nebraska' is the wordplay.
'rotter' becomes 'cad' (a cad is a dishonourable person).
'around' means one lot of letters goes inside another.
'nebraska' becomes 'ne'.
'cad' placed around 'ne' is 'CANED'.
(Other definitions for caned that I've seen before include "punished" , "given stick" , "Thoroughly defeated" , "beat" .)