Gwyneth & Chris: Shots for Two?

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In a very rare public outing together, low-key couple Gwyneth Paltrow and Chris Martin left the kids at home during a recent date night at Cherrystones Crab and Lobster shack in East Hampton, NY.

As for rumors that the pair are experiencing some marital strife? "They were cozy," an insider tells OK! of Gwyneth,35, and Chris,31, who dined on steamed littlenecks, a lobster role and pinot grigio.

And who says this couple is macrobiotic?  Our source tells OK! that Gwyn and Chris finished off their meal with shots of Dewars.

Bottoms up!