When I hiked Dragons Tooth, we got within 200 feet and had to turn around due to nearby lightning strikes. The top section is challenging without a downpour; I wouldn’t recommend it in the rain- it can get slickery!
I bet it can get slick. There are many places on the hike when you're at a cliff ledge. And the tooth would be a bad place to be in a thunderstorm. Thanks for sharing your experience, though!