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You will need more information on the clock. The simple older types used the mains frequency to drive the timing. In which case the clock would be useless running slow.
However the modern types use clock chips that run from DC and use crystal control that is independent of the mains frequency and the AC mains voltage is used to derive the low voltage DC required for the electronics. Further to this the input voltages in the switch mode supplies these days usually are not critical of input voltage that can be anything between about 90 and 270 volts.
Barry
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