In a food processor, combine 5 tablespoons lemon juice, 1 1/2 teaspoons salt, and grated garlic. Mix the mixture and leave the mixture for 10 minutes.
Add the tahini and mix until thick and smooth, scraping the bowl as needed.
While blender is running, add 6-8 tablespoons of ice water 1 tablespoon at a time and blend until smooth, scraping sides of bowl as needed.
Add the cooked and drained chickpeas, cumin, and ΒΌ cup olive oil. Mix until completely creamy and smooth (about 5 minutes), scraping the bowl as needed. Add more ice water to reach desired consistency.
Season to taste with more salt, cumin, and lemon juice if needed.
To serve, transfer to a serving bowl, sprinkle with whole reserved chickpeas to taste, drizzle with extra virgin olive oil, finely chopped parsley, and sprinkle with ground paprika to taste.