How big are they? The ticks that carry lyme disease are tiny like a sesame seed. (Or smaller even.) Dog ticks are bigger, maybe an eightth of an inch long. It's not likely that ticks that like mammals are going to like your leopard gecko. They are different types.
To get rid of them, you need to take your leopard gecko somewhere, strip your room of bedding etc and spray a good tick repellent. Your local vet will have the best stuff for treating rooms. Do it once and get into every nook and cranny and you should be good.