Easing anxiety in cats may be as easy as clipping your laundry to the clothes line. A technique called "clipnosis" allows for a pain free way to restrain your cat, keeping her calm under stress.
The technique is called pinch-induced behavioral inhibition. Like rubbing an alligator's belly or placing a snapping turtle on its back to immobilize it, this technique seems to invoke a scruff response. This is the relaxed pose that kittens take when their mothers carry them by the neck.
The only videos I could find demonstrating this are in Spanish...
Notice that they're using regular binder clips. Ohio State has patented a clip, presumably to be marketed to pet owners, but I haven't seen any for sale yet.
Apparently, not all cats will respond to this, and it's less effective if the cat has already become agitated.
Obviously, this is a short term method to reduce a cat's anxiety, and not for use for general anxiety. Other methods, such as drug therapy, homeopathy, or the use of Feliway, are more appropriate for that. As always, consult with your veterinarian before use.
By the way, that thing about rubbing the alligator's belly is a bit of an illusion. Placing an alligator on its back reduces blood flow to the brain, and the animal becomes immobile. Rubbing the belly is just for the sake of the audience.