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Fortunately where I am is steady or slightly decreasing (light blue in the figure above). Phew! No need yet for life jackets or rafts!
What is more the same study identified that due to tidal effects London moves vertically 10 mm twice a day due to the weight of water coming in and out. That must be near the estuary rather than upriver here where surely there can't be enough water to make that amount of height variation.
Even so its hard to think of a whole city rising and falling - makes me think of this series of books I've just finished (recommend if you like that sort of thing).