Post Process Video / buffer feedback effect ( smearing / updating render buffer using float map )

It’s called Aftereffect. (Occuring after the main effect in a predetermined time interval).

I remember seeing an example of it somewhere on a jumping jack animation that would create rainbow colored particles and pile them on where the arms swing.

no idea if it was in the content examples, or just made with the same character/animation but you should have a look in the content examples.
It’s related to Anim Notifies and Particle Spawning.

Really Though, how to do it would vastly depend on how you wish to utilize it.
is it on a single item? Are you in 3d or paper2d? Etc.