Aussie immigrant born outside of West Indies (5)

I believe the answer is:

newie

I'm a little stuck... Click here to teach me more about this clue!

'aussie immigrant' is the definition.
The definition suggests a singular noun which matches the answer.

'born outside of west indies' is the wordplay.
'born' becomes 'nee' ('nee' is 'born' in French).
'outside of' means one lot of letters goes inside another.
'west indies' becomes 'wi'.
'nee' placed around 'wi' is 'NEWIE'.

Can you help me to learn more?

I've seen this clue in The Times.

Want a hint initially instead of a full solution? Install my app