I forget where I read it, but a few years ago there was a comment by a New York based priest and exorcist (if I remember rightly) that if someone is floating up around the ceiling, you've got a bit more on your hands than a bloke with an inferiority complex (or words to that effect).
Yeah, no kidding, LOL!
Far more common in these cases is the fact that the demon possessing the victim will know things about people---the priest, the relatives of the victim, doctors, visitors, all sorts of people, that not even the FBI, CIA, NSA, KGB, and all other assorted intelligence agencies could possibly know. Demons hang around the people they target, and they observe who comes into contact with them. Since we can't see the demon, we don't know that they're even in the room, unless we're spiritually sensitive enough to pick up a feeling that something just isn't "right". Then, the demon starts looking into those people; what they say to other people, what they say to themselves when they're alone, what they do when they're by themselves.
Thus, when the very well-educated and erudite psychologist (whom the demon has been secretly observing for weeks) starts to explain to the victim's relative that the victim only has a psychological aberration in his brain, the demon, speaking through the victim, will say, "Oh, you're a fine one to talk---you have 350,000 pornographic images on your personal laptop, and every night when you're allegedly "working", you're locked in your den masturbating over them, sometimes upwards of five times a night! Talk about aberrations! Does your wife know about this, by the way? But don't worry: her needs are met by Joey the yard man; he comes over to cut the grass three times a week, and he gets a little on the side from the little woman!"
This will cause all the blood to drain out of the psychologist's face as he realizes the most closely-guarded secret of his entire life has just been exposed in public for all the world to hear. No one could possibly know that. No one. But the demon does. And more, and worse. And the demon uses this knowledge to discomfit anyone trying to help the victim whom the demon is inhabiting, so they won't be able to cast the demon out in some way. There's a scene in "The Exorcist" where Father Merrin tells Father Karras, "No matter what the demon says, Damien,
do not listen!" The demon will try to confuse or upset an exorcist, to reduce the exorcist's effectiveness.
And, of course, there are also the more blatant signs that simply cannot be explained by medical science, such as bloody scratches appearing on the victim's skin for no reason, obscene messages written in Babylonic cuneiform that the victim has no fluency in---and which totally disappear the next day; or the cases of (as Bob mentioned) possessed kids walking up walls or crawling around on the ceiling like house flies. That specific phenomenon was documented in the LaToya Ammons case in Gary, Indiana, when one of her children in an exam room at the hospital walked backwards up a wall, flipped over the head of an observer, and landed on his feet. Both the registered nurse and the social worker who saw this testified that what the boy did was physically impossible---there is no way he could have done what he did naturally. The examining physician initially attributed Ammon's story to "delusions of ghost in the home" and "hallucinations", but changed his tune after the boy walked backwards up the wall.
The book, "Hostage to the Devil," by Malachi Martine has five documented stories by the
Church of exorcisms. It's a good read and usually available in the public library. However,
it will keep you up at night.
I have that book. It's good, but it pulls no punches. You have to be in very, very good spiritual health to read that book. I couldn't make it through the last chapter, and still haven't read it---it was too disturbing.