Had too much, swallowing booze I abandoned (5)

I believe the answer is:
owned
'had' is the definition.
('own' can be a synonym of 'have')
I don't understand how the remainder of the clue works.
Can you help me to learn more?
(Other definitions for owned that I've seen before include "to oneself?" , "Endow (anag)" , "Had lawful title to" , "fully paid off?" , "made a confession" .)
