I think all toddlers go through this phase, Sam has just turned two and I remember a few months ago he would scream blue murder if I left the room, followed me EVERYWHERE and wouldn't leave me alone.
Sometimes I will sit him down with a puzzle or something he is really interested in and leave him for a few minutes at a time. Often I will sit at the computer for a couple of minutes where I can see him and he is ok for a little while.
I don't think it's a problem, she obviously loves you very much and wants to spend time with you.