Regularly re-enact our rep performance again (6)
I believe the answer is:
encore
'again' is the definition.
(I've seen this in another clue)
'regularly re-enact our rep' is the wordplay.
'regularly' means one should take alternating letters (regularly take one letter, leave next etc.).
're'+'enact'+'our'+'rep'='reenactourrep'
The alternating letters of 'reenactourrep' are 'ENCORE'.
'performance' acts as a link.
I am not very happy about this link. It may belong to another bit of the clue.
Can you help me to learn more?
(Other definitions for encore that I've seen before include "Call to perform again" , "Play or sing it again" , "Play it again, Sam?" , "Call for repetition" , "(Call for) repeat performance" .)