Thanks for the advice, they both sound like a great ideas. It was cute when it was just a few little dribbles, but having to use the shopvac in the kitchen would get old quick ;-)
I am having the same problem. One of my girls just sits there and plays until the dish is empty. I had a dispenser, but quit using it because I woke up this morning to a flooded kitchen. She just started doing this a few days ago, so I hope someone has an idea before it becomes an unbreakable...