Richard Arthur Lloyd Livsey, Baron Livsey of Talgarth was a British Liberal Democrat politician who served as the Member of Parliament (MP) for Brecon and Radnorshire from 1985 to 1992, and again from 1997 to 2001.

Brecon and Radnorshire is a county constituency in Wales of the House of Commons of the Parliament of the United Kingdom. Created in 1918, it elects one Member of Parliament (MP) by the first-past-the-post system of election. The constituency is represented by Fay Jones of the Conservative Party, who defeated incumbent Jane Dodds of the Liberal Democrats at the 2019 general election.