Quit one lit bit in Domain? (9)

I believe the answer is:

bailiwick

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'idomaini?' is the definition.
I can't judge whether this definition defines the answer.

'quit one lit bit' is the wordplay.
'quit' becomes 'bail' (I've seen this in another clue).
'one' becomes 'i' (Roman numeral).
'lit bit' becomes 'wick' (I've seen this in another clue).
'bail'+'i'+'wick'='BAILIWICK'

'in' is the link.

Can you help me to learn more?

(Other definitions for bailiwick that I've seen before include "Jersey" , "special field" , "legal official's jurisdiction" , "Area of interest" , "Jurisdiction of a bailiff" .)

I've seen this clue in the Sydney Morning Herald.

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