Hello. Many properties within this area are affected by subsidence. If the movement has stopped it wouldn't put me off (given how common it is). From my experience, the existing buildings insurer for the property should offer to continue to insure the property. However, it does mean that you are then stuck with that insurer unless you go to a specialist insurer. See also the Association of British Insurers website - https://www.abi.org.uk/products-and-issues/choosing-the-right-insurance/home-insurance/subsidence/#insurance