Auntie broadcasted college and school pranks (6)
I believe the answer is:
antics
'pranks' is the definition.
('antic' can be a synonym of 'prank')
'auntie broadcasted college and school' is the wordplay.
'auntie' becomes 'aunt' ('aunt' can be a synonym of 'auntie').
'broadcasted' shows a homophone (sound like) (I've seen 'broadcast' mean this (how the word might sound on the radio or TV)).
'college' becomes 'ic' (I can't explain this - if you can you should believe this answer much more).
'and' means one lot of letters go next to another.
'school' becomes 's'.
'aunt' sounds like 'ant'.
'ant'+'ic'+'s'='ANTICS'
Can you help me to learn more?
(Other definitions for antics that I've seen before include "Absurd behaviour intended to amuse" , "Movements intended to be amusing, pranks" , "'Capers, pranks (6)'" , "Absurd or foolish movements intended to amuse" , "Movements intended to cause amusement" .)