Beat the eggs with 2 tbsp of soy sauce in a medium-sized bowl.
Add the cubed chicken breasts plus 2 tbsp of cornstarch and mix everything together. Set aside.
Make the sauce: pour the water, honey, ketchup, sesame seed oil, lime juice, salt, and remaining tbsp of soy sauce into a small saucepan and bring to a boil. Reduce the heat and simmer for 10 minutes until slightly thick.
Heat a wok or large skillet over medium-high heat and add the vegetable oil. Once the oil is hot, fry the chicken pieces until brown and fully cooked. Transfer to a plate.
Place the cooked chicken in a clean bowl and pour the sauce over it. Mix until all the pieces are fully covered with the sauce.
Serve with sesame seeds and sliced green onions on top.