Brother Livingstone is finished (6)
I believe the answer is:
broken
'is finished' is the definition.
(thesaurus)
'brother livingstone' is the wordplay.
'brother' becomes 'bro'.
'livingstone' becomes 'ken' (Ken Livingstone is a famous UK politician).
'bro'+'ken'='BROKEN'
(Other definitions for broken that I've seen before include "Shattered, perhaps emotionally" , "Made inoperative" , "out of order" , "no longer working?" , "Smashed or tamed" .)