Crush garlic clove and place in food processor.
Add black beans, lemon juice, tahini, cumin, salt and cayenne pepper; process until smooth.
Add enough of the reserved liquid (1 tablespoon at a time) from the beans to reach desired consistency, pulsing after each addition.
If desired, drizzle with olive oil and sprinkle with paprika. Serve with baked tortilla chips, crackers, or sliced vegetables.