Time to publish daily: material very thin (6,5)
I believe the answer is:
tissue paper
'material very thin' is the definition.
(I know this)
'time to publish daily' is the wordplay.
'time' becomes 't' (abbreviation).
'to publish' becomes 'issue' ('issue' can be a synonym of 'publish').
'daily' becomes 'paper' (newspaper).
't'+'issue'+'paper'='TISSUE-PAPER'
(Other definitions for tissue paper that I've seen before include "Kleenex" , "delicate sheets" , "There may be a valuable article in it!" , "Wrapping for delicate objects" .)