Chi's are not independent like other breeds of dogs. They thrive on human attention and they become very bonded to their people.
Have you tried increasing her confidence? Do some training with her - Chi's are VERY smart. Or take her to a puppy kindergarten class in your area for socialization and play. Clicker training is a very effective and fun way to train puppies. Confident puppies are usually not needy.
Also, make sure she is getting enough exercise. Play with her and wear her out. Take her for walks, throw a ball, get on the floor and interact with her.
I think this will all sort itself out over time and your reward will be a little being who loves and cherishes the ground you walk on.