Rose Cutting Frames are a really interesting fly cutter where the cutter's holder rides along a rosette for it's movement (whilst also spinning). They are typically used with for adding designs to the end of an object; work such as Guilloché.
The best reference for these is Turning and Mechanical Manipulation, vol. 5 - The Principles and Practice of Ornamental or Complex Turning (1884).
gphilpoirier has a great snippet of one of these in action on this Instagram posting.