It really is different for each child so you would need to play it by ear. Perhaps it has been slightly too much too fast for her. Perhaps for a while one of you could spend some time there with her without leaving her there to get more used to it. At the moment she doesn't want to be without you and knows that everything you leave. So if you can change her opinion on you always leaving once you arrive at the centre she might concentrate more on ejoying herself. Then when you do have to leave her by herself it won't be so bad. We have always done that with DS and it has worked well.
Hope this helps.