Bothered by independence, right — judged it to be divisive (9)
I believe the answer is:
irritated
'bothered' is the definition.
('irritate' can be a synonym of 'bother')
'by independence right judged it to be divisive' is the wordplay.
I cannot really understand how this works, but
'by' could be 'at' and 'at' is present in the answer.
'independence' could be 'i' and 'i' is found within the answer.
'right' could be 'r' (common abbreviation) and 'r' is present in the answer.
'it' could be 't' (abbreviation. e.g. in 'tis) and 't' is present in the answer.
This may be the basis of the clue (or it may be nonsense).
Can you help me to learn more?
(Other definitions for irritated that I've seen before include "Ratty" , "Cross" , "rubbed up the wrong way" , "Annoyed" , "Irked" .)