A timepiece oscillator structure includes at least one divisible unit, which includes at least one component which includes at least one flexible blade or at least one blade with necks, joining two main units, each more rigid than the flexible blade or blade with necks, where the divisible unit includes at least one protection unit adjacent to at least one main unit to which it is connected by at least one divisible linkage which is designed in order to make possible the detachment of this protection unit from the component when the component is fixed, with at least the particular main unit which is adjacent to the protection unit, to a more rigid external element than the flexible blade or than the necks of the blade with necks.