Put the vinegar, honey, and olive oil in a small bowl. Season with salt and pepper and whisk to combine. Set aside.
Add the potatoes to a large pot of salted water and bring to a boil. Lower the heat to a soft boil and cook for approximately 20 minutes or until the potatoes are just soft. Drain. When the potatoes are cool enough to handle, flatten them with the palm of your hand.
Heat the olive oil in a large cast-iron skillet over medium-high heat. Add the potatoes and season with salt and pepper. With a wooden spoon, crush the potatoes into chunks. Cook for 12 minutes, stirring. Remove from the heat. Set aside.
Put the arugula in a large bowl. Add the potatoes and pomegranate seeds. Add the vinaigrette and gently toss to combine.
Arrange the salad on individual plates. Serve with the blue cheese on the side. Serve immediately.