Whisk eggs and a small pinch of salt with a fork in a small bowl.
Heat sesame oil in skillet over medium heat. Add eggs and immediately start stirring with a spatula. When curds just start to form, add oyster sauce and continue to toss eggs gently with spatula to incorporate oyster sauce.
Cook just until done. Sprinkle with chives, if desired.
If you are vegetarian, substitute vegetarian oyster sauce.