A cyst is a bacterial infection that usually caused by a blockage or inflammation of a skin gland, and it is often found around eyelid. Firstly, you can use warm compress, that is to say, you need dip a washcloth in warm water, and place it to the cyst for a quarter every few hours. It would help stimulate blood flow in the eye area. When it begins to heal, you can reduce the time of compress. And you can pluck the closest eyelash to the cyst, which is helpful to speed up the healing process, and make the eye area feel less painful.
The eye cysts belong to the stye. During the inflammation period, you should eat anti-inflammatory drugs, avoiding the extrusion. In addition, if you don't want to take the medicine, you could use the chlorine pefloxacin eye drops. During this time, you'd better get away from the spicy food and drink more pure water.
There are many kinds of eye cysts, which is inflammation of eyelids. Firstly, you should go to examine. It might heal by itself, but most of it will be further infected.
So, I do not think home remedy is a good idea. If your eye gets infected long enough, your vision can be affected. And in the end, only surgery can help to your get rid of cysts. However, if you still do not wanna take medicine, hot compress might relieve your pain.