Add in ground chicken then mix in onion mixture so it doesn't burn. Spread the meat out then let sit untouched for about 2-3 minutes so the bottom can brown. Break the chicken up to continue cooking, stirring occasionally until most of juices have evaporated, about 3-4 minutes.
Mix in trimmed and cut green beans. Cook until green beans turn bright green but are still crunchy, about 2-3 minutes.
Pour in sauce and let cook for about 3-4 minutes for sauce to caramelize. Squeeze in juice from half a lime. Then remove from heat and toss in torn basil. Serve over a bowl of rice.