Possible Clues:

• Place of higher education
• 18 down, for a limb in an old king
• Cello, eg, can be played in the academy
• Dartmouth, e.g
• School member stuffing cabbage
• Where you might get the third degree
• Time for experimentation, often
• Word from the Latin for ''community''
• School pudding?
• Cut-up artwork with article rejected for Eastern educational establishment