Neither of mine have tails or nubs. Montrose would shake her back end so fast, and the hair would move at such a rate we would say that there was a humingbird under her skirt!
Dylan, he sometimes wags his back end, but most of the time I am looking at that great big beautiful grin that he has.
I have seen wiggy nubs though and I think they are great!
And no, they don't grow one later on.