Our MP eats processed cheese of indifferent quality (9)
I believe the answer is:
mousetrap
'cheese of indifferent quality' is the definition.
(mousetrap can mean poor-quality cheese)
'our mp eats processed' is the wordplay.
'processed' is an anagram indicator.
'our'+'mp'+'eats'='ourmpeats'
'ourmpeats' anagrammed gives 'MOUSETRAP'.
(Other definitions for mousetrap that I've seen before include "Poor (cheese); route maps (anag.)" , "Poor-quality cheese" , "inferior cheese" , "A rodent control; (The) long-running play" , "Poor cheese (colloq.)" .)