I read naught new in a newspaper (3,8)
I believe the answer is:
the guardian
'newspaper' is the definition.
(I've seen this before)
'i read naught new' is the wordplay.
'new' indicates an anagram.
'i'+'read'+'naught'='ireadnaught'
'ireadnaught' with letters rearranged gives 'THE GUARDIAN'.
'in a' acts as a link.
(Other definitions for the guardian that I've seen before include "Our paper?" , "Newspaper" .)