One settling dispute in middle of road? Just schedule some coppers to turn up (11)
I believe the answer is:
adjudicator
'one settling dispute' is the definition.
'road? just schedule some coppers to turn up' is the wordplay.
'road? just' becomes 'adju' (I can't justify this - if you can you should give a lot more credence to this answer).
'schedule' becomes 'rota' (I've seen this before).
'some coppers' becomes 'cid' (Criminal Investigation Department).
'to turn up' is a reversal indicator.
'rota'+'cid'='rotacid'
'rotacid' in reverse letter order is 'dicator'.
'adju'+'dicator'='ADJUDICATOR'
'in middle of' is the link.
This may not be right. Some or all of it may be part of another bit of the clue.
(Other definitions for adjudicator that I've seen before include "Settler of disagreement" , "Arbitrator" .)