1. Dish Soap - If it can cut through oil and grease on our dishes, it can do the same for our hands! Most dish soaps have oil-dissolving properties that are above and beyond regular hand soap.
2. Rubbing Alcohol - Chili oil is more soluble in alcohol than in water, so a good splash of rubbing alcohol can help wash it away. High-proof liquor like vodka can also work in a pinch.
3. Whole Milk or Yogurt - This one has a whiff of urban legend about it, but then again, chili pepper is also more soluble in fats and oils than it is in water, so maybe it would work. Advice on several internet forums say to pour the milk or yogurt into a bowl and soak your hands until the burning sensation stops.
Do you have a tried and true method of washing burning chili oil off your hands? Please share!