Given somewhere to sleep outside public school (8)
I believe the answer is:
bestowed
'given' is the definition.
('bestowed' can be similar in meaning to 'given')
'somewhere to sleep outside public school' is the wordplay.
'somewhere to sleep' becomes 'bed'.
'outside' is an insertion indicator.
'public school' becomes 'stowe'.
'bed' going around 'stowe' is 'BESTOWED'.
(Other definitions for bestowed that I've seen before include "Conferred" , "Gave; presented" , "Given as a gift" , "Granted" .)