Real pasta cooked in old Greek wrestling school (9)
I believe the answer is:
palaestra
'wrestling school' is the definition.
(thesaurus)
'real pasta cooked' is the wordplay.
'cooked' indicates an anagram.
'real'+'pasta'='realpasta'
'realpasta' with letters rearranged gives 'PALAESTRA'.
'in old greek' is the link.
This may not be correct. Some or all of it may be part of another bit of the clue.
Can you help me to learn more?
(Other definitions for palaestra that I've seen before include "In old athletics arena" , "Greek training school" , "gymnasium" .)