Combine the tahini and fresh lemon juice in a food processor, blending for 1 minute until whipped and creamy.
Add the minced garlic, ground cumin, salt, and half of the olive oil to the processor. Blend for an additional 30 seconds.
Add the drained chickpeas to the mixture. Process for 1 to 2 minutes, gradually adding ice water until the mixture reaches an ultra-smooth consistency.
Transfer the dip to a serving bowl. Drizzle with the remaining olive oil and garnish with a pinch of paprika and freshly chopped parsley.
Serve immediately alongside sliced pita bread, cucumber rings, and yellow bell pepper strips.