Season chicken with salt and pepper. Heat oil in a large skillet over medium-high heat.
Sear thighs skin-side down 6–8 minutes until golden; flip and cook 4 minutes. Remove excess fat.
Stir garlic into pan 30 seconds, then add honey, soy sauce, and vinegar. Reduce heat and spoon glaze over thighs; simmer 6–8 minutes until cooked through.
Meanwhile, blanch or steam green beans 3–4 minutes until bright and tender-crisp.
Melt butter in a separate pan, toss beans with butter and almonds, season with salt, and finish with a squeeze of lemon if using.
Serve thighs with green beans almondine spooned with extra glaze from the skillet.