Relating to the administration of justice (8)
I believe the answer is:
judicial
'relating to the administration of justice' is the definition.
(I've seen this before)
This is all the clue.
(Other definitions for judicial that I've seen before include "Legal" , "Relating to the application of the law" , "Of law courts or the administration of justice" , "from the bench" , "Of a judge" .)