Drop part of the Oath of Allegiance (4)
I believe the answer is:
fall
'drop' is the definition.
('fall' can be a synonym of 'drop')
'part of the oath of allegiance' is the wordplay.
'part of' indicates the answer is hidden within the clue.
'FALL' can be found hidden inside 'oath of allegiance'.
(Other definitions for fall that I've seen before include "Autumn in Vermont?" , "Descend, drop" , "Autumn in the USA" , "Rapid descent" , "Drop, decrease" .)