Why did he hold my hand?

He held out his hand as he greeted me. I thought it was him giving me a handshake. I grabbed his hand as he walked closer to the chair I was sitting in, and I moved my hand up and down while shaking his hand. He didn't do anything. He didn't shake his hand and was motionless as I did. I think he just wanted to hold it. Then, he released seconds later. I know if he treats me like this, he has no girlfriend. I'm the only one girl he ever flirts with.
Why did he hold my hand?
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