Heat the oil in a large pan over a medium heat. Tip in the chickpeas and fry gently for 3-4 mins until sizzling and slightly crispy.
Whisk together the dressing ingredients in a bowl, then pour over the chickpeas along with 4 tbsp water and bring to a boil. Cook for 1-2 mins until reduced slightly, remove from the heat, season well and set aside.
Toss the carrots, spinach and raw broccoli together and divide between plates. Scatter over the chickpeas and a spoonful of the pan juices to dress.