During the First World War Cundiff served in the Royal Field Artillery (RFA), later transferring to the Royal Flying Corps. Following the war he joined the part-time reserve Territorial Army, returning to the RFA. He was promoted to the rank of major in 1924. He retired from the TA in 1930.
In June 1944, Edmund Ashworth Radford, the member of parliament for Manchester Rusholme, died. Cundiff was selected to contest the resulting byelection for the Conservative Party. Under a wartime political pact, the parties forming the coalition government agreed not to contest vacancies although he was opposed by a Common Wealth Party and an independent candidate. The poll was held on 8 July, and Cundiff was elected with a majority of 1,760 votes over the Common Wealth candidate. He was to remain as Rusholme's member of parliament for less than a year, as he was defeated by Lester Hutchinson of the Labour Party when a general election was held in 1945 by a margin of 11 votes.
The Representation of the People Act 1948 reorganised constituencies throughout Great Britain, and Cundiff was chosen by the Conservatives to contest the Manchester Withington Borough Constituency which was formed from parts of the previous Rusholme and Withington seats. The new constituency was first contested at the 1950 general election, and he won the seat comfortably with a majority of over 8,500 votes over his Labour challenger. When a further general election was called in the following year, Cundiff chose to retire from the Commons.
- "CUNDIFF, Major Frederick William". Who Was Who. A & C Black. 1920–2008. Retrieved 12 February 2011.
- "Conservative Candidate for Rusholme". The Times. 20 June 1944. p. 2.
- "No. 30395". The London Gazette. 20 November 1917. p. 12124.
- "No. 32696". The London Gazette. 9 May 1922. p. 3688.
- "No. 33116". The London Gazette. 22 December 1925. p. 8480.
- "No. 33617". The London Gazette. 20 June 1930. p. 3881.
- "No. 34854". The London Gazette. 21 May 1940. p. 3032.
- "Rusholme Candidates". The Times. 27 June 1944. p. 2.
- "Government Win at Rusholme". The Times. 10 July 1944. p. 4.
- Leigh Rayment's Historical List of MPs – Constituencies beginning with "W" (part 4)[self-published source][better source needed]
- "Labour Citadels Challenged, Effect Of Manchester Boundary Changes". The Times. 8 February 1950. p. 5.
- "The General Election: Last Night's Results". The Times. 24 February 1950. p. 9.
- Leigh Rayment's Historical List of MPs – Constituencies beginning with "R" (part 2)[self-published source][better source needed]
- "Retiring Members. Over 20 Not Seeking Re-Election". The Times. 21 September 1951. p. 3.
- Hansard 1803–2005: contributions in Parliament by Frederick Cundiff
|Parliament of the United Kingdom|
Edmund Ashworth Radford
|Member of Parliament for Manchester Rusholme
1944 – 1945
|Member of Parliament for Manchester Withington
1950 – 1951
Sir Robert Cary, Bt