Odd bishop banned from Birmingham (3)
I believe the answer is:
rum
'odd' is the definition.
(rum can mean strange or dubious)
'bishop banned from birmingham' is the wordplay.
'bishop' becomes 'B' (chess abbreviation).
'banned from' indicates named letters should be taken away.
'birmingham' becomes 'Brum' (I've seen this before).
'brum' with 'b' removed is 'RUM'.
(Other definitions for rum that I've seen before include "Odd sort of spirit used in grog" , "Queer" , "Sugar-cane spirit" , "Odd sort of drink" , "The spirit is peculiar" .)