Let out to let again (7)
I believe the answer is:
release
This clue is a double definition.
'let out' is the first definition.
('release' can be a synonym of 'let out')
'let again' is the second definition.
('lease' can be a synonym for 'let' so perhaps 'release' is OK for 'let again')
'to' acts as a link.
(Other definitions for release that I've seen before include "record" , "press announcement" , "Let go" , "New film" , "Set free - publish" .)