Heat olive oil in a large skillet or pan; brown the chicken pieces (in batches if necessary) over high heat with the garlic and thyme for 2–3 minutes on each side until golden brown.
Return all the chicken to the pan, add the vinegar and let it boil until mixture is reduced by half. Add soy sauce and honey; stir to mix.
Add water and lemon slices; simmer until chicken is cooked and mixture is thick and syrupy, about 10 minutes or so.