Let out again and given food outside (5)
I believe the answer is:
freed
'given food outside' is the definition.
'freed' can be an answer for 'given' (freeing is a kind of giving). I'm not certain of the 'food outside' bit.
'let out again' is the wordplay.
'let' becomes 'fed' (I can't explain this - if you can you should believe this answer much more).
'out' means one lot of letters goes inside another.
'again' becomes 're'.
'fed' enclosing 're' is 'FREED'.
'and' acts as a link.
Can you help me to learn more?
(Other definitions for freed that I've seen before include "Untied" , "Emancipated, let loose" , "Defer being liberated" , "Released" .)