Former French island Napoleon went into (5)

I believe the answer is:

exile

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'napoleon went into' is the definition.
I can't judge whether this definition defines the answer.

'former french island' is the wordplay.
'former' becomes 'ex' (prefix meaning former or onetime).
'french island' becomes 'ile' ('island' in French).
'ex'+'ile'='EXILE'

Can you help me to learn more?

(Other definitions for exile that I've seen before include "Person forced from country" , "Send to live abroad" , "Person absent from home or country" , "Jews' experience in Babylon" , "Person forced to live abroad" .)

I've seen this clue in The Globe and Mail.

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