Rest in shredded section of newspaper (6)
I believe the answer is:
insert
'section of newspaper' is the definition.
'insert' can be an answer for 'section' (insert is a kind of section). I am unsure of the 'of newspaper' bit.
'rest in shredded' is the wordplay.
'shredded' indicates an anagram.
'rest'+'in'='restin'
'restin' is an anagram of 'INSERT'.
Can you help me to learn more?
(Other definitions for insert that I've seen before include "Put in; enclosure" , "Put something inside something else" , "Add in" , "Introduce, put in" , "place in the interior" .)