Iodine clock with moving bands
Whilst not specifically an iodine clock reaction, Belousov-Zhabotinski reactions are oscillatory and can produce moving bands, spirals and concentric circles of colour. This works best in thin films (limiting convection) as the top commenter on the linked video points out. 

There's a great thesis by Peter Hantz which looks at these kinds of reactions in detail (the first bit is in french, the rest is in english) and specifically covers Liesegang banding, where an oscillating chemical reaction in a mobile phase causes bands of precipitation in a gel column. As Hantz points out on page 22, the gel is required to prevent convection from destroying the bands, however the viscosity of the gel also freezes the precipitate in place as it forms. This would seem to be close to what you are interested in, however.

Here's a picture of Liesegang bands in test tubes from wikipedia: