Oh, how I remember my son and his binky. Actually, it wasn't just one, it was two, one for each hand. Most of the time he never sucked on them, he just liked them being there. He had his own special place for them and everything. Unfortunately, binky did not leave our life until he was 4. He tried briefly when his sister was born, but we took them away from him and her. She never used it. She sucked on it, realized nothing came out of it and then threw it! My advice for the 3 year old is to not make a big deal about it. If you have multiple binkies, get rid of a few. Then when she gets down to her last one, well, that is all. No more binky...big girl time here we come. That is how we finally rid our son of his.