There are a few cloisters in Naples worth visiting, if you have the time and interest. Since it was at the end of our trip and we were lacking time, we chose the Cloister of Santa Chiara to visit, which sits right in the middle of the Historic Center and not far from all of the shopping, which we were interested in doing as well.
Chiostro di Santa Chiara
The cloister is behind a large church which suffered greatly during the allied bombings of Naples in the 1940s. Apparently the church took most of the damaged and the cloister was left, more of less, intact for us to enjoy today.