Possibly the last newspaper with adult material (7)
I believe the answer is:
organza
'possibly the last' is the definition.
I can't tell whether this defines the answer.
'newspaper with adult material' is the wordplay.
'newspaper' becomes 'organ' (I've seen this before).
'with adult material' becomes 'za' (I can't explain this - if you can you should give a lot more credence to this answer).
'organ'+'za'='ORGANZA'
(Other definitions for organza that I've seen before include "Stuff" , "Silk (or silk-like) fabric" , "Silky cloth" , "Silky fabric" , "Transparent silky material" .)