Recently I installed a Go Rhino step hitch on my '12 Grand Cherokee, but I wasn't happy with the amount of play in the hitch receiver.
After a little research and some suggestions, I settled on a silent hitch lock from towready.com - Amazon link here
My feedback on this product is excellent, after about a 2 minute installation, it stopped all side to side play in the hitch receiver
(and all chattering noise too!).
Here are some pictures below of the actual hitch lock: