Whisk together the pomegranate molasses, honey, lime juice and zest in a small bowl. Season with salt and pepper, and then slowly whisk in the oil until emulsified.
Combine the arugula, avocado, papaya, jicama and some salt and pepper in a large bowl and toss to combine. Add some chips, and then pour some of the dressing around the sides of the bowl. Toss to combine, taste and add more dressing the same way if desired.