Cold around back half of studio in folly (6)
I believe the answer is:
idiocy
'folly' is the definition.
(I've seen this in another clue)
'cold around back half of studio in' is the wordplay.
'cold around back' becomes 'icy' (I can't explain this - if you can you should give a lot more credence to this answer).
'half of' suggests halving the letters.
'in' indicates putting letters inside.
'studio' with half the letters taken is 'dio'.
'icy' enclosing 'dio' is 'IDIOCY'.
Can you help me to learn more?
(Other definitions for idiocy that I've seen before include "Imbecility" , "Foolish action or behaviour" , "Stupid behaviour or talk" , "Extreme silliness" , "Predatory seabird" .)