Richard Henry Lee Chichester (April 18, 1870 – February 2, 1930) was an American judge from Virginia.
Chichester received his early education in private schools in Fairfax County and at St. John's Military Academy in Alexandria.
At twenty-one, he was admitted to the bar and began practice in Stafford County, Virginia where he was shortly elected Commonwealth's Attorney.
Resuming practice at that time, he entered a law partnership with his brother in Fredericksburg until his appointment, in 1910, as judge of the Fifteenth Judicial Circuit.
Upon the death of Judge Joseph L. Kelly in June 1925, Chichester was elected to the Supreme Court of Appeals of Virginia.