Does restrictive stockings work to treat edema?

Yes. These are commonly very effective for reducing edema. It is a simple treatment but very effective, sometimes more so than the medications.
Yes. When the legs swell the excess fluid is all concentrated in the skin. By pressing on the skin with compression garments, such as compression stockings, the fluid is encouraged to return to the circulating blood stream where it came from. Compression leggings have been created that wrap around the extremity with velcro closures and function similarly to the stockings with less effort to get on.