In a mixing bowl, combine mayonnaise (or Greek yogurt), extra virgin olive oil, fresh lemon juice, Dijon mustard, kosher salt, black pepper, and hot sauce if desired. Whisk everything together until smooth and well-blended.
In a large mixing bowl, add drained chickpeas and tuna. Then incorporate finely chopped celery, minced red onion, fresh dill, and capers (or green olives/relish). Gently fold these ingredients together using a spatula until evenly mixed.
Pour the prepared dressing over the salad mixture. Stir gently until everything is coated evenly with the dressing.
To serve, place a generous scoop on a bed of arugula, spread it on whole-grain bread for a sandwich, or enjoy it alongside whole-grain crackers or pita chips.