When I run LBC minimized, it places its icon in the Win 7 notifications area (I meant to say that when I said "taskbar) at the lower right corner of the screen. I always try to remember to keep it minimized so it will start up this way.
Running LBC with no command line arguments gives me the menu flyout when I left click on the icon and the configuration flyout when I right click. That's perfect for me.
Running LBC with -nodock and -nowindow gives the menu flyout (with an "exit" selection on bottom) on a left click, and no response on a right click.