Well, I don't recommend pursuing a "buzz" because in order to attain it you need to take more than is prescribed and then you become addictedm like I did, and detoxing from any benzo but particularly Xanax is something you do not want to experience. trust me. But to answer your question, it isn't so much a "buzz" as it is a melting sort of feeling. I would feel like I had just melted and blended in with the air around me. I don't know how else to describe it. It was instant-calm and no feeling whatsoever. Of course, when the Xanax wears off and you feel again, you are anything but calm, your senses go into overdrive and you develop superhero level abilities to for example, hear. Everything is amplified from sound to light and it is very unpleasant.
Just take them as prescribed and what they're for. Any minor "buzz," aka relaxed floating someone taking more than prescribed gets is totally canceled out by the adverse feelings that inevitably come when that "buzz" wears off.
Oh, and if a doctor gets THE slightest inclination you are using it for a buzz or in any other inappropriate manner? Off you come and they have no mercy about it. You'll be tapered by safe medical standards and then you will get nothing ever again and not just Xanax. anything that has the potential for abuse is forever off the table for you so really, please dont.