Little time to publish paper (6)
I believe the answer is:
tissue
'paper' is the definition.
(tissue paper is a kind of paper)
'little time to publish' is the wordplay.
'little time' becomes 't' (abbreviation for time).
'to publish' becomes 'issue' ('issue' can be a synonym of 'publish').
't'+'issue'='TISSUE'
(Other definitions for tissue that I've seen before include "Thin soft disposable paper" , "Basic structural element of an animal or plant" , "Thin fabric" , "Absorbent paper, used as handkerchief, say" , "Fine soft paper" .)