Dancing at anchor or a mooring is a dynamic instability problem that can also be dampened by using a 'stout' bow eye mounted close to the waterline at the bow, or 'bridle' if the boats geometry can apply.
The lower the rode/pennant connection is to the boat waterline, most time will SIGNIFICANTLY dampen or stop the 'dancing'.
My boat is a 'avid dancer'. Since using such a 'bridle system', I no longer need to use an anchor riding sail.
Here's a diagram of what a mooring or anchoring bridle looks like. Note - the bridle has to be pulled 'fairly tight' to under the bow, and may need 'chafe protection'. Sometimes in roaring conditions I'll add a secondary/additional bridle from the midship hawse pipes to the bridle to rode connection under the bow: