Oh, that is just darling! What a shame about the bottom rotting out.
You know, I have an Asarina in a small pot on my back porch and it might do well as a vine in a miniature garden. The leaves are small anyway and maybe keeping it in a pot would keep it from getting full size. This one is one I started last spring. All the other plants got much bigger, but this one has stayed fairly small....at least so far.