A state in which all of your decisions are influenced by drinking too much Hennessy.
Friend: Do you remember what you did last night?
Me: I don't remember, i was off the henny
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When your drunk off drinking Hennessy, a beer. Your off da henny.
Guy 1: "This party is mad lit bro, im so drunk"
Guy 2: "Same here, im off da henny"
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Common phrase used by Jalen Aguiniga which means "stupid".
Damn bruh you're using the titan? You off tha henny!