caesium clock

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an atomic clock based on the energy difference between two states of the caesium nucleus in a magnetic field

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That our provisionally trusty caesium clock should not, in certain well-defined senses, keep good time is indeed expected and well understood.
The time-keeping of pulsars in respect of their rotational frequency is extraordinarily good: in the short term it is comparable with that of the caesium clock, although in the longer term the pulsar slows down as energy is removed from it by a variety of mechanisms, and there may occasionally be major "glitches" - sudden changes of rotational speed associated with "star quakes" in the "crust" of ordinary matter that forms on the surface.
The research has also led to the construction of extremely precise clocks that could become the future basis for a new standard of time, with more than hundred-fold greater precision than present-day caesium clocks, it said.
Now, these previous competitors can complement one another, and the technology of the optical clock leads to a considerable improvement of the established caesium clocks.