In a food processor pulse the chickpeas alone until it looks like a gritty paste. Then add in the lemon juice and pulse until it looks like a thick paste.
Then while the processor is running open the top window and drizzle in the tahini in a steady stream and let the processor go until every thing looks like a solid paste. Now open it and put in the ice and keep pulsing. We add in the ice to make the paste lighter in color and more fluffy.
Add in the salt and keep pulsing. You can add in more ice until you reach the creaminess you prefer. Top with the reserved chickpeas and drizzle EVOO on top.