I usually cut most of my soaps 24 hours after pouring in the mold. However, it's depending on what type of soap you've made and how much water you've used. For example, when I used 38% water, I waited out more than two days to cut it, but for salt bar, I cut as soon as the soap has hardened.
Personally I do a 24 hour minimum. I know some people do as little as 8 hours. 24-48 hours has worked fantastic for me. If you are getting into cp soaps, it's an art of patience. No need to rush it in my opinion.