Advanced instruction from Red China toughie garbled (6,9)
I believe the answer is:
higher education
'advanced instruction' is the definition.
(instruction beyond compulsory education)
'red china toughie garbled' is the wordplay.
'garbled' indicates anagramming the letters.
'red'+'china'+'toughie'='redchinatoughie'
'redchinatoughie' is an anagram of 'HIGHER EDUCATION'.
'from' acts as a link.
(Other definitions for higher education that I've seen before include "One's up in it" , "to a degree" .)