Most CS3 users have had problems. I can't recommend it.
I have CS3 at home, but I haven't done any real heavy-lifting on my home system for a little while, and that was before I had Mavericks. All I can tell you is that I can run the program and it will do the very easy things that I have needed it to do. As Steve points out, others have had less success, and I imagine they have done actual production work, where I've only messed around.