Whisk lime juice, 1.5 tbsp olive oil, yogurt, honey, vinegar, half the cumin and chili powder, and a pinch of salt and pepper. Stir in some cilantro. Chill.
Heat 2 tsp olive oil in a large skillet over medium-high. Season chicken with remaining chili powder, cumin, garlic powder, 0.5 tsp salt, and some pepper.
Sear chicken until browned and cooked through, 6–8 minutes, stirring once or twice. Transfer to a plate to rest.
Add corn to the hot skillet and cook dry until lightly charred, 2–3 minutes. Let cool.
Chop romaine, halve tomatoes, dice avocado, and finely chop onion and jalapeño. Reserve a little cilantro for garnish.
Combine romaine, beans, corn, tomatoes, avocado, onion, jalapeño, and most cilantro in a large bowl. Add warm chicken.
Drizzle in dressing and toss to coat. Top with cheese and tortilla strips. Finish with remaining cilantro and extra lime if desired.