In a small bowl, whisk together lime juice, salt, pepper, garlic, vinegar, and thyme. Pour into a large plastic bag, then place the frog legs in the bag as well. Allow the frog legs to marinate in the fridge for at least an hour.
When the frog legs are done marinating, remove them from the bag.
Pour the flour into a shallow bowl. Dip each frog leg in the flour, giving it a light coating.
Heat the vegetable oil so that when you put the frog legs in, they begin to bubble after about 1-2 seconds. Place the floured frog legs in the oil and heat until they turn golden brown, about 3-5 minutes.
The internal temperature of cooked frog legs is about 145. You can also check doneness by sight, as the cooked meat will look similar to the cooked dark meat of chicken.
Serve with vegetables and your favorite dipping sauce. Enjoy!