Dollar bill money origami is probably an interesting gift that some people will probably keep and remember. They are certainly not going to throw it away. If they are broke in the future, they can just unfold it.
Marc Sky is a dollar artist who folds money origami for living. He had made dozens of origami sculptures of dollar bill such as elephant, peacock, puppy, winged dragon, turtle, cat and others. If you want him to fold your name or something, you can order it at Dollar Artist.
Source: Marc Sky’s Dollar Origami & Dollar Artist.