Once the butternut squash is cool enough to handle, scrape it into the bowl of a food processor. Add the chickpeas, tahini, garlic, lemon juice, smoked paprika, and cayenne pepper (if using). Turn the food processor on high, then slowly drizzle in the olive oil. Continue processing, scraping down the sides as necessary, until smooth and creamy. Serve with chips, bread, or vegetables.
2 15-ounce cans (about 3 cups) chickpeas, ¼ cup tahini, 1 clove garlic, ¼ cup (about 1 whole lemon) lemon juice, 2 teaspoons smoked paprika, ½ teaspoon kosher salt, ⅛ teaspoon cayenne pepper, ½ cup olive oil