Puts out peel of sizable fruit (7)
I believe the answer is:
sedates
'puts out' is the definition.
(put out can mean to sedate or knock out)
'peel of sizable fruit' is the wordplay.
'peel of' says to hollow out the word (remove centre letters) (the outer letters or peel are used).
'fruit' becomes 'dates' (type of fruit).
'sizable' with its middle taken out is 'se'.
'se'+'dates'='SEDATES'
(Other definitions for sedates that I've seen before include "Anaesthetises" , "Calms" , "Treats with soothing or sleeping drugs" , "keeps quiet" .)