Fred Armisen and Abby Elliott's Relationship in 'Early Stages'

Fred Armisen and Abby Elliott's Relationship in 'Early Stages'
Elizabeth Moss, Fred Armisen and Abby Elliot
Lisa Rose; Getty; AP

08/19/2010 AT 03:25 PM EDT

Conflicting work schedules and trying to maintain a long distance relationship caused Fred Armisen and Elisabeth Moss's marriage to come to an end, a source tells PEOPLE.

"Both him and Elisabeth have moved on," says the source about the SNL funnyman, 43, and Mad Men actress, 28, who wed in October and split in May. "It was totally amicable and friendly."

While Moss has remained low-key, the newly single Armisen recently reportedly stepped out with fellow SNL cast member Abby Elliott, 23, for a cozy dinner in Los Angeles.

"They are dating and it all happened after he and Elisabeth split," says the source. "They've always been close friends on set and … they started hanging out."

The relationship is "very new," adds the source. "It's nothing serious. It's still the early stages."

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