Name for a polygon which is laying on a cylinder? Is there a name for a closed-loop polygon (2D, such as a circle, square, triangle, etc.) which is "draped" over a cylinder (3D)?
Picture Dali's famous painting, The Persistence of Memory.  If those clocks were of zero thickness, just circles melted over some 3D object, can you still call them polygons?  They wouldn't be quadrilaterals, because they themselves do not have a third dimension.  
Thank you for your insight!

Just call it a polygon. Since the cylinder can be rolled up from a plane without changing any locally measured angles, your polygon will unroll into a polygon in the plane.
The mathematics behind this is that the cylinder has Gaussian curvature $0$ and is a developable surface.
