to clarify, you're looking to have one central reservoir and pump, to distribute a relatively small amount of water to multiple watering stations? Are you planning to recirculate the water from the cages back to the reservoir?
Yeah,that was the only real obstacle I saw too. The clogging would be an easy, but intricate system to overcome. A float switch attached to a shutoff valve would do nicely to stop flow to an individual clogged dish. You'd have to have individual setups, or maybe 2 or 3 on a switch/valve circuit, depending on how many cages you have.The biggest problem so far in my head is bird feathers and seeds clogging the system.