Blood clot happens very often. When we get bleeding, our body would create blood clot to stop bleeding more. When the blood clot stops blood flow in a vein or artery, it is dangerous to our health. Yet blood clot in eyes, I guess, is just like subconjunctival hemorrhage, which looks weird and terrible, yet so far it is not dangerous to your life. The conjunctiva is a piece of thin, transparent and fragile membrane covering the white of eyes. It is the protective coating of eyeball. It contains very fine vessels and nerves. Usually the vessels are invisible. Yet when the conjunctiva is inflamed or infected or injured, the vessels are visible. Vessels are very fine and fragile, easy to get broken, resulting in subconjuctival hemorrhage, which means bleeding under conjunctiva.
The blood will congeal under conjunctiva which appears bright or dark red. Normally no other treatment is needed. If it is caused by inflammation or infection, take medicines or eye drops prescribed by doctor might help to speed up the recovery. Don't worry too much. It usually clear out within two weeks. If it didn't, you should go to doctor for help.