Men head off to the centre to give a repeat performance (6)
I believe the answer is:
encore
'a repeat performance' is the definition.
(an extension or repeat of a performance)
'men head off to the centre' is the wordplay.
'head off' means to remove the first letter (the first letter or 'head' is removed).
'to the centre' becomes 'core' (core can mean something's centre).
'men' with its first letter taken off is 'en'.
'en'+'core'='ENCORE'
'to give' acts as a link.
(Other definitions for encore that I've seen before include "Repeated performance demanded by an audience" , "Audience call for another performance" , "Repeat performance, please" , "Cry for repeat performance" , "Repetition of performance" .)