Place of specialised study or training (7)
I believe the answer is:
academy
'place of specialised study or training' is the definition.
(I've seen this before)
This is all the clue.
(Other definitions for academy that I've seen before include "Specialist school" , "School independent of an LEA" , "Institution for the advancement of art, science, literature" , "Secondary school" , "Centre of learning" .)