In the February 5 issue of Physical Review Letters, it is reported that there's now experimental evidence of "handed" nuclei.

By shooting ions on certain elements, new nuclei were created. These had 75 neutrons, and 55, 57, 59 or 61 protons. The scientists measured the spin states for the nuclei, noting especially the energy and angular momentum of each state. The results showed doublets for the energy states - seemingly identical with the same angular momentum, results in two closely spaced energy states.

This is interpreted as a result of the nuclei spinning left-handed or right-handed.

reference: Scientific American, Physical Review Letters