Using mandoline set at 1/16th inch, slice potatoes. Put all slices in a big bowl of water. Let sit for 20 minutes - 24 hours. Heat fryer to 375. Drain as much water as you can from the potato slices. Use paper towels to absorb any additional water on the surface. Place a batch of potato slices into the fryer (batch size really depends on big your fryer or pot is - just make sure that the slices do not stick to each other and all are under the oil. Fry until golden brown. Drain on a baking sheet with rack. While chips are hot, season with salt.
Dip:
In a bowl, combine all of the above. If have the time, I recommend that you make your own aioli. But, if you're like me and crave potato chips and MUST HAVE THEM NOW, store bought mayo will do.