Began in a squat, defaced after lease's opening (8)
I believe the answer is:
launched
'began' is the definition.
(launching is a kind of beginning)
I don't understand the remainder of the clue.
Can you help me to learn more?
(Other definitions for launched that I've seen before include "Sent on course as uncle had" , "Put a vessel in the water" , "Initiated" , "Set a ship in motion" , "Sent a newly-built boat into the water" .)