Thank you for your post.
Creating a non-[Full Access] privilege set that limits the user to the database file is not possible. However, if you have FileMaker Pro Advanced, you can then create a Custom Menu set that will not allow access to Security settings (and Custom Function and Custom Menus). Then, when the new user opens the file, you can have a startup script compare the user's privilege name and load the appropriate custom menu.
Let me know if you need additional clarification.