The SNL costars started dating after Armisen and Elisabeth Moss split, a source tells PEOPLE

Credit: Lisa Rose; Getty; AP

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.”