My son had terrible separation anxiety. He only wanted me since he was a months old...he hated everyone including my husband... It was very hard on all of us.
He became better at 1 1/2 old. By 2, he was fine to go to preschool, and it just got better from there. Now he is 5, and he tells me I don't need to take him to school because he can go by himself...lol! (Well, I still have to drive him there, so he is stuck with me!) He is so sociable that no one believes me when I tell them how he was when he was little.
Someone told me that separation anxiety is a good sign that you and your baby have strong bond:)