And cut those people rendering "God Save the Queen", perhaps (6)
I believe the answer is:
anthem
'god save the queen perhaps' is the definition.
(God Save the Queen is an example)
'and cut those people' is the wordplay.
'cut' means to remove the last letter.
'those people' becomes 'them' (I've seen this before).
'and' with its final letter removed is 'an'.
'an'+'them'='ANTHEM'
'rendering' acts as a link.
(Other definitions for anthem that I've seen before include "National tune" , "National melody" , "National or church song" , "The man for a patriotic song" , "Solemn song" .)