Remove the table top and legs. Then re-insert the legs (without the table top). Test each leg for back-and-forth movement with your hand. Try it again by switching the legs. You may have to replace one or both of the floor receptacles and/or legs or attempt to tighten the fit by expanding the tapered part of the leg.
Almost all of these end up rocking due to traveling with the weight of the table constantly moving back and forth with bumps in the road. I used to remove my single-post table during travel and put it upside-down on the bed to keep it from moving during travel.
2004 Tiffin Allegro 27.5 ft. P32 18,000 lb GVW. 8.1 liter. Workhorse chassis built May 2002. 21,000 miles. 2012 Jeep Liberty Toad. RVi2 brake unit.