Arrange again to incorporate first of cases for part-time judge (8)
I believe the answer is:
recorder
'part-time judge' is the definition.
(I've seen this before)
'arrange again to incorporate first of cases' is the subsidiary indication.
'arrange again' becomes 'reorder' ('order' is an answer for 'arrange' so perhaps 'reorder' is OK for 'arrange again').
'to incorporate' indicates putting letters inside.
'first of cases' becomes 'c' (I can't explain this - if you can you should give a lot more credence to this answer).
'reorder' placed around 'c' is 'recorder'.
'for' is the link.
Can you help me to learn more?
(Other definitions for recorder that I've seen before include "Annalist" , "Renaissance flute" , "Judge - musical instrument" , "Archivist - part-time judge" , "A kind of flute or note-taker" .)