Using the same skillet (do not clean it; the leftover bits add flavor), pour in the soy sauce, rice vinegar, honey, light brown sugar, and toasted sesame oil. Add the minced garlic and ginger, stirring the mixture until well combined.
Bring the sauce to a gentle simmer over medium heat, allowing the flavors to meld.
In a small mixing bowl, whisk together the cornstarch and water until no lumps remain. Gradually drizzle this slurry into the simmering sauce while stirring continuously.
Let the sauce cook for 2-3 minutes, or until it thickens to your desired consistency. For a thinner sauce, stir in a bit more water in small increments until it reaches the preferred texture.