The phrase you want is "take time (to do something)". We cannot use "have" in the sentence because it's a stative verb; the situation is changing. The teapot takes a long time to cool down. The teapot doesn't take a long time to cool down. (This is a little awkward. We naturally say, "The teapot doesn't take long to cool down" or "It doesn't take long for the teapot to cool down.")