While they were uncomfortable, they definitely helped reduce swelling in my ankles though I felt so old wearing them. (travelfashiongirl.com)
Other people say that coffee helps reduce swelling in your blood vessels, which can help soothe headaches. (mindbodygreen.com)
From what I'm told, compression tights should also help reduce swelling of the legs during air travel, however, for whatever reason this wasn't what I experienced. (cyclingtips.com)