I'm a convert. I've posted this many times now. Dish soap, toothbrush, and warm running water, and while you're at it, you might as well get a nylon tube brush and clean the airway and mortise. Like starting totally fresh. You'll have to re-wax it no matter what you do. Or don't re-wax it. It'll pick up oils from your fingers anyway. Briar is tough stuff. Water won't damage it. To re-tell a story from another board: a smoker experimented with how much water briar absorbs. Ran a pipe through the dishwasher and then cut the pipe in half on a band saw. After two hours in a hot dishwasher cycle, water had only penetrated 1-2mm. It'll only take around 10 minutes with a toothbrush and warm running water, so water won't penetrate even that much. If you don't trust this process, try it on a lesser pipe and see for yourself. I trust you'll be converted too.