Scrap what could be The Times inside page (8)
I believe the answer is:
endpaper
'page' is the definition.
(thesaurus)
'scrap what could be' is the wordplay.
'scrap' becomes 'end' ('end' can be a synonym of 'scrap').
'what could be' becomes 'paper' (I am not sure about this - if you are sure you should give a lot more credence to this answer).
'end'+'paper'='ENDPAPER'
'the times inside' acts as a link.
This may not be correct. Some or all of it may belong to another bit of the clue.
(Other definitions for endpaper that I've seen before include "found at beginning of book" , "part of book" , "goes into bookmaking?" , "One's stuck in a book" .)