Put the oil in a heavy-bottomed skillet fitted with a deep-frying thermometer. Heat over medium heat until it reaches 350 degrees F.
Season the chicken with salt and pepper. Mix the potato flakes and crushed chips together in a shallow dish. In a second shallow dish, mix the flour and some salt and pepper. Add the eggs to a third shallow dish. Dredge the chicken tenders on all sides first in the seasoned flour. Shake to remove any excess flour, then dip into the egg. Allow the egg to drip off. Dredge in the potato mixture until evenly coated.
Carefully add the chicken tenders to the hot oil and cook until golden brown, 3 to 4 minutes per side. Transfer to a cooling rack over a paper towel-lined baking sheet. Sprinkle with more salt and serve warm.