I’m right in saying it’s wrong (8)

I believe the answer is:

improper

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'wrong' is the definition.
('improper' can be a synonym of 'wrong')

'i'm right' is the wordplay.
'right' becomes 'proper' ('proper' can be a synonym of 'right').
'im'+'proper'='IMPROPER'

'in saying it's' is the link.
This may not be correct. Some or all of it may be part of another bit of the clue.

Can you help me to learn more?

(Other definitions for improper that I've seen before include "Unseemly, indelicate" , "Naughty" , "Unfitting, out of place" , "Hardly meet" , "Not conforming to norms of conduct, maybe indecent" .)

I've seen this clue in the Evening Standard.

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