D..
You're thinking about it like an authoritarian parent. PLEASE reconsider. Instead of thinking about punishment for her acting like a 3 year old, CO-OPT her into doing what you want. You are an adult and can think of creative ways to get her to do things.
Cleaning up a playroom is not a 3 year old's job. What you do is sing the clean-up song from Barney and you make it FUN. You pick up a toy, she picks up a toy. If you think that having a battle to do things is appropriate, you are in for a long string of battles and unhappiness.
Just because you were used to her doing it before doesn't mean that she's going to keep doing it this way. She is asserting her independence as she is supposed to do. It's a way of realizing that she is a separate person from you. Instead of fighting with her over it, work WITH her and change the way you look at it.
You need to do this for each stage of her development. Just like you wouldn't let her go down stairs by herself at first, and then at a later point in her development you changed up and let her, you need to change the way you do things to accommodate her new development with "chores".
You will need to do this WITH her for a long time. If you don't believe me, ask preschool or daycare teachers. They will tell you that you don't expect children this age to do this by themselves.
Dawn