Whisk together the pomegranate molasses, lime juice, honey and lime zest in a small bowl and season with salt and pepper; slowly whisk in the oil until emulsified.
Combine the arugula, avocados, papaya, jicama and some salt and pepper in a large bowl and toss to combine. Add the tortilla 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.
Recipe courtesy of Bobby Flay