Place the lime juice, onion, garlic, jalapeño, and spices in a bowl to marinate. Set them aside while you prepare the tomatoes.
Put the tomatoes and fresh cilantro in a food processor and pulse a few times.
Add the salsa mixture and pulse a few times.
Compose the salad in bowls: Layer the cucumber, avocado, black beans, and salsa. Repeat. Top with the crushed chips and garnish with lime juice and several whole lime wedges.