Joe I've been doing this with my kumquats for the last few years. It really helps keep the sink smelling clean. Fortunately I have kumquat tree that produces 100's of fruit so there's plenty extra after eating my fill.
I will toss 5-6 kumquats into the disposal, no water running, and just pulse the disposal a few times . This leaves the fruit pieces and juices in the disposal and really makes a difference.
John