What are you doing with your life right now? Are you meeting people and having friends? Your long-distance relationship sounds more like you are the mother and she is a toddler - she is trying out new things, and when she falls, she runs back to mummy. I'm not trying to be flip or insulting. I just know that we can act out unresolved issues in current relationships and they can generate very intense feelings. So yes I would say it's normal, but I would also say there are better directions to take your life in.