AGN jet feedback in stratified cluster atmospheres lifts low entropy gas out of the center of the gravitational potential well, in the wake of jets and buoyantly rising bubbles. After a dynamical time, much of that uplifted material may descend again, creating a down-draft in its wake. These down-drafts may pull non-thermal plasma, originally injected into the ICM by the rising bubble, back down and in the process compress it and reignite it in low-frequency radio emission. I will present a numerical investigation of the possible observable manifestations of this dynamical effect based on MHD simulations of AGN cluster feedback and discuss its implications in the context of cluster radio mini-halos and long-term non-thermal emission from clusters.