Time to put out paper (6)
I believe the answer is:
tissue
'paper' is the definition.
(tissue paper is a kind of paper)
'time to put out' is the wordplay.
'time' becomes 't' (abbreviation).
'to put out' becomes 'issue' (synonyms).
't'+'issue'='TISSUE'
(Other definitions for tissue that I've seen before include "Thin skin for suites" , "Thin stuff" , "Web; fabric" , "Thin fabric" , "Jewish religious leader" .)