Feign a pretence and organise performance (3,2,1,4)

'organise performance' is the definition.
I know nothing about this answer so I can't tell whether it can be defined by this definition.

'feign a pretence' is the wordplay.
I cannot really understand how this works, but
'feign' could be 'puton' (I've seen this in another clue) and 'puton' is located in the answer.
'a' is within the answer.
'pretence' could be 'show' (show is a kind of pretence) and 'show' is present in the answer.
This accounts for all the letters.
This explanation may well be incorrect...

'and' is the link.

Can you help me to learn more?