I get creosote from the used Blazn I bought dripping out of the chimney cap and the place where the chimney is screwed into the side of the chamber.
I also get grease from letting cooking utensils (tongs, etc.) hanging off of the side of the shelves or hooks on my other grills.
Sometimes, if I do not dump the drip bucket and it rains really hard the water will overflow from the drip bucket.
It's all part of cooking to me so I don't get too worried about it. My wife on the other hand feels a little bit different about it.