Guy stares and fiddles with his wedding band what does that mean?

I was in a meeting with this man and my friend. The entire time he was staring right at me even though she was the one talking. His eyes were glued to me. She even said something about it. And then when I spoke he kept fiddling with his wedding band. He kept playing with it, that's how I noticed. I have never seem him touch his wedding band before when he is in public. This was my first time having personal interactions with him.
fiddling with his wedding ring
fiddling with his wedding ring
Guy stares and fiddles with his wedding band what does that mean?
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