In a bowl, stir together the chicken, garlic chive, Shaoxing wine, soy sauce, cornstarch, 1 teaspoon of sesame oil and a pinch of white pepper
Set out a baking sheet lined with foil or parchment paper for your finished wontons. Fill a bowl with warm water for sticking the wontons together.
Working one at a time, place 1 teaspoon of the chicken filling in the middle of each wonton wrapper. Use your finger to brush water along 2 sides of the wonton wrapper, and fold it in half to make a triangle. Make sure the edges of the triangle are secure! Then, fold the edges of the triangle together and use water to hold them together.
Once you've got all your wontons finished, boil a pot of water. Cook your wontons in the boiling water for about five minutes. (Don't rely on "floating to the top" because we found that a lot of our wontons had air bubbles inside that caused them to float even when not fully cooked.) You'll need to do this in 2 batches, using a slotted spoon to remove the cooked wontons before adding the next batch.
When the wontons are done cooking, pour the water out of the pot. Add the chicken stock, water, 4 chopped scallions, 1 teaspoon of sesame oil and a pinch of white pepper to the pot and bring it to a boil.
Arrange the wontons in 6 soup bowls, and pour the hot soup over the wontons.
Any wontons you don't use can be frozen on a sheet pan. Once frozen, you can transfer them to a freezer bag and store for a couple of months. Having homemade wontons in your fridge, ready-to-to is super convenient!