Marinate the chicken:
In a bowl, combine olive oil, lemon juice, minced garlic, dried oregano, salt, and pepper. Add chicken thighs and make sure they are well coated with the marinade. Cover and refrigerate for at least 1 hour, preferably overnight.
Prepare the Tzatziki sauce:
In another bowl, mix Greek yogurt, grated and drained cucumber, minced garlic, lemon juice, chopped dill, salt, and pepper. Cover and refrigerate to let flavors meld.
Cook the chicken:
Heat a grill or skillet over medium-high heat. Remove chicken from the marinade and cook for about 6-7 minutes on each side or until fully cooked and slightly charred. Remove from heat and let rest for a few minutes before slicing thinly.
Assemble the gyros:
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