For the dressing: In a small bowl, whisk together the chili oil, vegetable oil and lemon juice. Season with salt and pepper and set aside.
For the salad: In a medium bowl, combine the greens, carrots and scallions, but do not add the dressing yet. Cover with a damp paper towel and set in the fridge until ready to serve.
For the squid: Fill a wok or deep fryer halfway with vegetable oil and heat to 350 degrees F, or until a cube of bread turns golden browns in 15 seconds and floats to the surface. If frying in a wok, make sure that the wok is stable on a burner or wok ring.
Whisk together the eggs and potato starch, and then coat each squid ring well with the batter. Carefully add the squid rings to the hot oil and fry, in batches, until a light golden brown, 1 to 2 minutes. Remove with a slotted spoon and drain on paper towels. Season with salt, pepper and chili flakes. When ready to serve, toss the salad with a couple tablespoons of the dressing and top with the hot crispy squid. Garnish with the sliced scallion greens and serve.
You can use frozen squid rings, but fresh are best. This dish makes a great appetizer or a shared main course.