Pray

Sometimes it is best not to mention spills and accidents to the inquirers or it might gross them out.

It is definitely not a topic for the faint-hearted.

Can't you just wipe/pick it up with a cloth and burn it?

Yes, I saw that done at the Antiochian Cathedral when a baby spit up the Holy Eucharist along with a lot of regurgitated milk.

However, wasn't it St. John of San Francisco who ate the vomit of a sick man to whom he had just communed? And didn't this sick man have a contagious disease? The saint did not get sick in spite of the fears of the medical community.

That's why he's a Saint. The Body of Christ is more important to him than the chance of getting a disease. I believe though it is a "knowledge" within Orthodoxy that no one will get sick from the Eucharist. Like if a person with TB goes before, you wouldn't get TB from the spoon.

Don't know if it's been proven..

I doubt it's been verified in any way that would satisfy science but I remember reading an account of a priest visiting a TB ward to serve Communion to some sick people. One of the medical people was scoffing at the priest for using the same spoon for all of them. When the priest told him that disease couldn't be passed with the spoon, he was mocked. One of the patients coughed up a glob of blood and the priest scooped it up with the spoon and ate it to show the guy. He never became ill.

I can't remember where I read it as it's been a while but I remember very clearly reading it.

However, wasn't it St. John of San Francisco who ate the vomit of a sick man to whom he had just communed? And didn't this sick man have a contagious disease? The saint did not get sick in spite of the fears of the medical community.

Vladika's constant attention to self-mortification had its root in the fear of God, which he possessed in the tradition of the ancient Church and of Holy Russia. The following incident, told by 0. Skopichenko and confirmed by many from Shanghai, well illustrates his daring, unshakable faith in Christ. "Mrs. Menshikova was bitten by a mad dog. The injections against rabies she either refused to take or took carelessly ... And then she came down with this terrible disease. Bishop John found out about it and came to the dying woman. He gave her Holy Communion, but just then she began having one of the fits of this disease; she began to foam at the mouth, and at the same time she spit out the Holy Gifts which she had just received. The Holy Sacrament cannot be thrown out. And Vladika picked up and put in his mouth the Holy Gifts vomited by the sick woman. Those who were with him exclaimed: `Vladika, what are you doing! Rabies is terribly contagious!' But Vladika peacefully answered: `Nothing will happen; these are the Holy Gifts.' And indeed nothing did happen."