The writer's back -- crazy, pinching hotel cheese! (9)
I believe the answer is:
emmenthal
'cheese' is the definition.
(Emmenthal is an example)
'the writer's back crazy pinching hotel' is the wordplay.
'the writer' becomes 'me' (the person who is writing these clues).
'back' says the letters should be written in reverse.
'crazy' becomes 'mental' (I've seen this before**).
'pinching' means one lot of letters goes inside another (taking inside).
'hotel' becomes 'h' (phonetic alphabet: alpha, bravo, charlie etc.).
'me' written backwards gives 'em'.
'mental' placed around 'h' is 'menthal'.
'em'+'menthal'='EMMENTHAL'
(Other definitions for emmenthal that I've seen before include "Hard Swiss cheese" , "Swiss valley giving its name to a cheese" , "Swiss cheese with holes" , "Type of cheese" , "Something cheesy" .)