LeAnn Rimes and Eddie Cibrian Go Golfing

After recently splitting up with husband Dean Sheremet, singer LeAnn Rimes is now going out in public with possible love interest, Eddie Cibrian.

Having been low-key for awhile, Rimes and Cibrian had a public "golf date" on Thursday. According to People Magazine, Rimes makes a habit of golfing weekly, and that Thursday she arrived at the Valencia Country Club at 1 p.m., apparently just after Cibrian arrived.

"Eddie arrived at the private country club in his Porsche a few minutes before LeAnn," said an eyewitness. "LeAnn was beaming when she saw Eddie and the two gave each other a quick hug. Eddie was sweet and went to buy water and energy drinks from the golf store."

The pair spent almost three hours on the golf course in sweltering 90-degree heat.

"LeAnn was sans makeup and looked very happy and carefree. Between holes, LeAnn leaned back, put her feet up and sipped her energy drink while Eddie drove her around on a golf cart," the source adds. "They weren't super affectionate, and instead more flirty in a fun and loving way."