My clue cooked up for Aristotle’s school (6)
I believe the answer is:
lyceum
'aristotle's school' is the definition.
(I've seen this before)
'my clue cooked up' is the wordplay.
'cooked up' indicates an anagram.
'my'+'clue'='myclue'
'myclue' is an anagram of 'LYCEUM'.
'for' is the link.
(Other definitions for lyceum that I've seen before include "My clue (anag)" , "Garden in Athens where Aristotle taught" , "Where in Athens Aristotle taught philosophy" , "Ancient Greek school" , "Aristotle's teaching place" .)