Combine mayonnaise, olive oil, lemon juice, Dijon mustard, salt, pepper, and hot sauce (if using) in a small bowl; whisk to combine.
Drain and rinse chickpeas, and dry with a clean kitchen towel. If desired, peel and discard loose skins, and transfer chickpeas to a medium bowl. (I like to mash some of the chickpeas with a fork to help the salad better stick together, however this is optional.)Add tuna, celery, onion, capers (or olives), fresh dill, and dressing; stir to combine. Serve in a sandwich or wrap, over a bed of arugula, or with crackers.
