Heat the olive oil in a large saucepan with a tight-fitting lid over medium heat until hot. Add onion and garlic; cook for 5 minutes.
Add cubed chicken; cook for 10 minutes, stirring occasionally.
Stir in next 7 ingredients (broth through honey); blend well.
Reduce heat, cover and simmer for 20 to 30 minutes or until chicken is fork-tender.
Serve with lime wedges and sprinkle with chopped cilantro.