Most of lamb the men cooked with cheese (9)
I believe the answer is:
emmenthal
'cheese' is the definition.
(Emmenthal is an example)
'most of lamb the men cooked' is the wordplay.
'most of' means to remove the last letter.
'cooked' indicates an anagram.
'lamb' with its last letter taken away is 'lam'.
'lam'+'the'+'men'='lamthemen'
'lamthemen' is an anagram of 'EMMENTHAL'.
'with' acts as a link.
(Other definitions for emmenthal that I've seen before include "Swiss valley giving its name to a cheese" , "Hard Swiss cheese" , "Type of cheese" , "Swiss cheese with holes" , "Something cheesy" .)