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Hot new couple alert?

Looking boho-chic in a pair of Citizens of Humanity Mandy floral jeans and spiked booties, Lindsay Lohan stepped out in Venice for a liquor run with Dennis Hopper's son Henry, on Tuesday afternoon.

The troubled starlet has been rumored to be dating the 21-year-old son of the late actor, but this is the first time they've been photographed together in public.

The pair snapped up a bottle of Grey Goose Vodka and lots of Red Bull at the Venice Beach liquor store, and even shared a few kisses inside!

A liquor store employee tells us:

    "Lindsay's been in here before. And today she brings in this young guy and they were all touchy-feely and they kissed on the lips a couple times. Just quick little love-pecks but they were definitely together."

Meanwhile, Lohan is reportedly moving out of the Venice Beach home she's lived in just under a year, after moving trucks were spotted at her home early this week.

A trespasser was arrested outside of her property on New Year's Day for demanding to talk to the actress, and refusing to leave her home. The man was sentenced to 24 months' probation and eight days in jail, and is prohibited from being within 100 yards of the actress or her house, but it appears to have left the actress completely shaken.

La Lohan is reportedly planning to set up house at her fave Hollywood Haunt, the Chateau Marmont.