Preheat the oil in a deep fryer to 325°F (170°C).
Sprinkle the salt and black pepper over both sides of the chicken.
Whisk the milk, eggs and Tabasco sauce together in a bowl. Put the flour in a second bowl.
Dredge one chicken thigh in the flour and shake off the excess. Dip it in the egg mixture, then dredge it in the flour again. Shake off the excess coating.
Repeat with the remaining thighs.
Fry the chicken for 7 minutes. Turn each piece over and fry for about 5 minutes more.
Check the thickest part of every piece with an instant-read thermometer. The chicken must reach at least 165°F (74°C).
Drain the chicken and serve hot.