Obtained leave, starting Tuesday (3)
I believe the answer is:
got
'obtained' is the definition.
('get' can be a synonym of 'obtain')
'leave starting tuesday' is the wordplay.
'leave' becomes 'go' (to go is to depart or leave).
'starting' says to take the initial letters.
The initial letter of 'tuesday' is 't'.
'go'+'t'='GOT'
(Other definitions for got that I've seen before include "Caught" , "Landed" , "Obtained" , "came by" , "Received; understood" .)