I normally say don't listen, but with Hamilton, I would actually say listening may be better. The density of the non-stop lyrics is sort of a lot to take in, and while it is enjoyable, this is also not a show where if you really like it, you can just go again next week. So, the cast recording as a foundation will probably help you appreciate the acting and the movement, and free you up to to have a richer experience. That said, when I saw it at the Public, before there was a OBCR, I thought it was amazing. But when the cast recording did come out, it was almost a completely new experience, since I wasn't really able to process all of the lyrics that quickly in real-time, since it was a bit of a sensory overload, albeit a delightful one.