Should I go after her heart?

Well, I mean love, not her heart literaly lol. Well today I worked out mutually with this girl at my boxing gym and she was really cute. I has a lot of mutual comments to everyone, but she laughed at my comments a lot. They were meant to be funny of course. She looked at me a lot while I was working out. At the end of class, we made eye contact and I sat down, she put her stuff near me oddly, and her phone in front of me for some reason. Then she went upstairs to change. I didn't talk to her because i was wrapping up my hand wraps. Should I talk to her? I also found out she is In a relationship.