Cheese spread clearly inspires Greek character (10)
I believe the answer is:
caerphilly
'cheese' is the definition.
(thesaurus)
'spread clearly inspires greek character' is the wordplay.
'spread' indicates anagramming the letters.
'inspires' indicates putting letters inside (inspire means to breathe in).
'greek character' becomes 'phi' (letter from the Greek alphabet).
'clearly' is an anagram of 'caerlly'.
'caerlly' enclosing 'phi' is 'CAERPHILLY'.
(Other definitions for caerphilly that I've seen before include "Welsh town" , "Mild white cheese" , "Town north of Cardiff" .)