Precision in disposal of next cases (9)
I believe the answer is:
exactness
'precision in disposal' is the definition.
'exactness' can be an answer for 'precision' (I've seen this in another clue). I'm not sure about the 'in disposal' bit.
'of next cases' is the wordplay.
'of' indicates anagramming the letters (the answer comes from or 'of' the letters).
'next'+'cases'='nextcases'
'nextcases' with letters rearranged gives 'EXACTNESS'.
Can you help me to learn more?
(Other definitions for exactness that I've seen before include "nice" , "Precision" , "truth?" .)