Based off of the original post, she sounds interested. If you feel like you are becoming too clingy, then start doing more things for just yourself. Go out with your friends and have some fun doing things you enjoy, by yourself. When we lead interesting lives, we become more attractive to other people around us. I do think you should just go with the flow and see how things go. I know it's exciting when you meet someone new and you feel a good connection that you don't want to lose. I second what theEvilJester said, that she hasn't given any signs that she is not interested, so I think you should just go for it. Realize that you have something to offer and have confidence in yourself and that you are an interesting person, worth getting to know.
"Caring is not an advantage."