My priest, who is normally orthodox, recently returned from Ireland and was excited about using something called a divining rod. He had two sticks, one in each hand, and when he would pray they would twist in his hands and cross over each other. Does the Church permit this?
No. This practice is known as dowsing, water-witching, and using a divining rod. It is commonly used to find water, gold, oil, or lost objects. There are three principal ways in which it is done. One way involves using a forked stick which is grasped by the two forks, usually with the hands facing inward and downward. Another way is by using two separate sticks or rods (sometimes made out of coat-hangars). A third way is by using a pendulum.
Dowsing is a form of divination, as is obvious from the fact one is using a divining rod. Since divination is an occult practice forbidden by the Church, extreme caution must be used when dealing with any practice that resembles it.
The idea of saying a prayer over the divining rods before or while they are being used might or might not render the practice innocuous, depending on what else was being done, such as whether one was trying to gain information by using the divining rods. If one is trying to get supernatural information by the use of the rods, then it is definitely an occult practice that is forbidden by the Church.
Even if one is not using the rods to conduct divination, the practice of associating them with anything supernatural (such as prayers to God) makes the practice too similar to divination to be safely presented to the faithful. It has the appearance of superstition and of the superstitious use of occult practices (much as the religion of Santeria takes African god-spirits and gives them the names of Christian saints, overlaying a pagan practice with a Christian veneer). Dowsing therefore should not be taught to the faithful.