Place ½ cup stock and 1 can beans in a blender, and blend until smooth.
Heat olive oil in a large Dutch oven over medium-high. Add onion; sauté 4 minutes.
Add garlic; sauté 2 minutes.
Sprinkle flour over pan; cook 1 minute.
Stir in cumin and chiles; cook 1 minute.
Add bean mixture, remaining 1 cup stock, remaining 1 can beans, ¼ teaspoon pepper, and salt; bring to a boil.
Reduce heat to medium; simmer 5 minutes or until slightly thickened.
Add chicken; cook 2 minutes.
Stir in juice.
Divide chili among 4 bowls; top evenly with radishes, sour cream, cilantro, avocado, and remaining ¼ teaspoon pepper.
