Chop the beetroot into bite-size pieces. Add cumin, olive oil, salt, and pepper, then toss to coat evenly.
Heat the oven to 200°C. Roast the beetroot for 15 minutes, then remove the tray, add the chickpeas, and return to the oven for a further 5 minutes.
Crush the black lime with your hand or a knife. Add all vinaigrette ingredients to a small blender and blend until smooth.
Once the beetroot and chickpeas have cooled, toss with 3 tbsp of black lime vinaigrette. Taste and adjust the seasoning with more salt and cracked black pepper, if needed.
On a large serving plate, spread the yogurt evenly. Top with salad leaves and drizzle with 2 tbsp of vinaigrette. Then add the beetroot and chickpeas, and crumble over the feta.
Finish by drizzling the remaining black lime vinaigrette over the salad and garnish with dill fronds.