Take off for a bit of fun (6)

I believe the answer is:
parody
'take off' is the definition.
(I've seen this before)
'for a bit of fun' is the wordplay.
I cannot really see how this works, but
'a' is found in the answer.
'for' could be 'pro' (as in being 'pro' or in favour of something) and 'pro' is located in the leftover letters.
This may be the basis of the clue (or it may be nonsense).
Can you help me to learn more?
(Other definitions for parody that I've seen before include "Satire - burlesque" , "Make a mockery" , "Take off" , "Travesty" , "Spoof, lampoon" .)
