Hi Sue C,
Yes, you can let the little spinners dry on the vine. They won't take long, maybe a month or two. You can also cut them from the vine, leaving about an inch of stem. Just put them in a basket so they'll get plenty of air circulation and they will dry just fine.
We are in SE central Illinois, and our gourds, big and small are drying on the vine already.

Jan

Thank you, Jan.

The Tennessee Dancing gourd is sometimes referred to as the spinner gourd because it has been used to the the traditional spinning Tops of yesteryear. If so it is a squash (C. pepo) as are most of the small ornamental gourds. Jan's advice still applies. The shells when dry are of course much more fragile than the hard shelled ( Lagenaria) gourds.