Leaving local, forgetting what it’s like at home? (5,6)

I believe the answer is:

going native

'forgetting what it's like at home?' is the definition.
I know nothing about this answer so I can't tell whether this works.

'leaving local' is the wordplay.
'leaving' becomes 'going' ('going' can be a synonym of 'leaving').
'local' becomes 'native' ('native' can be similar in meaning to 'local').
'going'+'native'='GOING NATIVE'

I've seen this clue in The Times.

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