Chill with Antiguan, tipsy, under the influence? (13)

I believe the answer is:

hallucinating

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

'chill with antiguan tipsy' is the wordplay.
'with' is a charade indicator (letters next to each other).
'tipsy' is an anagram indicator.
'chill' after 'antiguan' is 'antiguanchill'.
'antiguanchill' anagrammed gives 'HALLUCINATING'.

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I've seen this clue in The Everyman puzzle in The Observer.

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