Obtained leave to finish breakfast (3)
'obtained' is the definition.
('get' can be a synonym of 'obtain')
'leave to finish breakfast' is the wordplay.
'leave' becomes 'go'.
'to finish' suggests the final letters.
The final letter of 'breakfast' is 't'.
(Other definitions for got that I've seen before include "Obtained", "Caught", "Landed", "Acquired", "came by".)