Break dried chilies into half. Shake off seeds and soak in hot water for 20 minutes. Drain and pat dry with paper towels.
Marinade chicken with plum sauce, rice wine, soy sauce, and pepper for 10 minutes.
Heat up wok or large fry pan. Once wok is heated, add 1 tablespoon oil. Fry green beans for 2 minutes. Remove and set aside.
Add remaining 2 tablespoon vegetable oil to the wok followed by dried chilies and ginger. Fry for 1 to 2 minutes. Add minced garlic and fry for 30 seconds.
Add marinated chicken and continue to fry for another 3 to 4 minutes.
Return fried green beans to the pan. Stir to mix.
Pour in corn starch mixture and continue to stir. Sauce will thicken. Turn off stove. Drizzle sesame oil onto chicken and green beans.