Not entirely against public dispute (10)
I believe the answer is:
controvert
'dispute' is the definition.
(thesaurus)
'not entirely against public' is the wordplay.
I cannot really understand how this works, but
an anagram of 'not' is 'ont' which is within the answer.
'against' could be 'v' (abbreviation for 'versus') and 'v' is found within the answer.
This explanation may well be incorrect...
Can you help me to learn more?
(Other definitions for controvert that I've seen before include "Argue against" , "Wrangle" .)