Siddhi - a paranormal power possessed by a siddha – is a true phenomenon. These are certain by-products of the practice itself. But just as gain, respect and fame can become obstacles to liberation, so, too, can such siddhi. Such phenomena are categorized under the Tenth Army of Mara. A battle faced by meditation masters, this last army is perhaps the most lethal of all. In the Buddha's time there was even a man, Devadatta, who tried to kill the Buddha under its influence.
There was once a layman who told that the Buddha should widely deploy all of his disciples who had psychic powers and ask them to demonstrate miracles to the people. "People will be really impressed," the layman said. "You'll get a lot of followers that way. The Buddha refused. Three times the request was repeated, and three times it was refused. Finally the Buddha said, "Layman, there are three types of psychic powers. One is the power to fly in the air and dive into the earth, and to perform other superhuman feats. The second is the power to read other people's minds. But there is a third psychic power, the power of instruction. This last power is the most important psychic power. The first two psychic powers can be attained and displayed if this interests you. It is not essential, or a hindrance, if you know it for what it is.
True disciples of the Buddha are more interested in developing ‘the Four Irdhi-paada.’ Iddhiya: of attaining completion or perfection; pado: root or basis -the root or basis of attaining completion or perfection. Hence it is called iddhipada. There are four kinds of iddhipada. But this is another subject/answer for another time/question.