Wycombe District Council | 1,191 followers on LinkedIn. Wycombe is a local government district in Buckinghamshire in south central England. It is administered by Wycombe District Council in the town of High Wycombe. The district was formed on 1 April 1974 under the Local Government Act 1972 Follow us on Twitter @wycombedc to receive short, timely updates on our services, council news and local events.