As was mentioned before, MRI uses irradiation of radio-frequency waves to excite sample and produce a signal. A metal rod is basically a dipole antenna. Depending on its lengths it can absorb energy from the RF field, if the RF field satisfies a resonance condition (i.e. if (half) the wavelengths is comparable to the length of the rod.).
Since the RF-fields frequency is dependent upon the main magnetic field of the MRI device, the same rod may heat up differently in different MR machines. Hence, a fixed orthodontic retainer in your mouth may be a problem at one field strengths, but may be OK at another.
Hope that helps!