Many people who have started with “just a little” Botox report that they found their need escalated over time. It isn’t addictive in the sense that alcohol can be addictive, but many people do find that quitting Botox is difficult. The more of it they have, the more “flaws” they want to fix with it.
One of the problems that people run into is that relaxing muscles to reduce wrinkles in one area of the face can lead to more wrinkles in another area. Thus, using Botox will likely reveal a further need for Botox.