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Snooki and her beau Jionni LaValle hit up the Geisha House in Hollywood ... and the pint-sized reality star left a little tipsy. Let the fist pumpin' begin!

LaValle, who has been with Snooks for almost a year, spent time in Italy with the Jersey Shore cast ... even appearing in the fourth season of the MTV show.

We'll see if Snooki and her buff boy will go the distance.