Heat oven to 350 degrees F. Place pita pieces on rimmed baking sheet and coat with nonstick cooking spray. Bake at 350 degrees F for 8 minutes or until crisp. Remove from oven and divide Parmesan cheese over pitas; return to oven for 1 minute or until cheese melts.
Meanwhile, combine chickpeas, lemon juice, tahini, olive oil, cumin and salt in a food processor bowl. Process until a smooth paste forms. Spread chickpea mixture into a serving bowl; stir in spinach. Serve with warm pita chips.