LiF: Mg, Cu, P is a TL material presenting unique dosimetric features. The TL sensitivity of this material was studied as a function of the annealing temperature and of the repeated cycles of annealing-irradiation-readout. A fading study was carried out over a period of 40 days with the purpose of checking the stability of the stored dosimetric information as a function of different annealing temperatures. A detailed statistical analysis of sets of data, obtained from repeated measurements on a group of ten dosimeters, is presented.