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The escapement itself based on the plans available on the Long Now Foundation's website, appears to be a modified Graham deadbeat This is a potentially problematic component of the clock from a wear standpoint If the frequency is 1 full oscillation per minute and the escapement unlocks once per semi-oscillation, the escapement will unlock 10512 billion times over a 10,000 year period.
This seems like a lot, although a 4 Hz watch making 8 semi-oscillations per second, will unlock 1.261,44 billion times over a five year period, if run continuously (five years is a typical recommended service interval) so if friction is kept as low as possible on the locking and impulse surfaces, it seems like you could get away with it Another interesting problem is the behavior of the Invar torsion spring over that long a period of time (and for that matter, all the materials in the clock . Source