Chinese-style, they are tasty and fun to eat, in a "trying-to-tie-a-cherry-stem-into-a-knot-with-your-tongue" kinda way.
The ick-factor comes from something entirely different that takes some getting used to. It's common Chinese table manners to spit out chicken feet, and other indigestible food parts, into a totally gross lump onto the table cloth next to your plate. To be polite, you should cover your mouth, as if coughing, so no one can see the food disgorging. Hey, when in Rome...
I would just use them for stock, acc. There's no meat on them, just bone and cartilage.
If you're feeling adventurous, you can also boil to death, then flour and fry, and finish by tossing them in a sauce of your choice, treating them the same as you would for buffalo wings.