Answer by taking a quote from the following article:

That Was the Week That Was, informally TWTWTW or TW3, was a satirical television comedy programme on BBC Television in 1962 and 1963. It was devised, produced and directed by Ned Sherrin and presented by David Frost. An American version by the same name aired on NBC from 1964 to 1965, also featuring Frost. The programme is considered a significant element of the satire boom in the UK in the early 1960s.

An American version was on NBC, initially as a pilot episode on 10 November 1963, then as a series from 10 January 1964 to May 1965. The pilot featured Henry Fonda and Henry Morgan, guests Mike Nichols and Elaine May, and supporting performers including Gene Hackman. The recurring cast included Frost, Morgan, Buck Henry and Alan Alda, with Nancy Ames singing the opening song and Stanley Grover and Ames performing solos and duets; regular contributors included Gloria Steinem, William F. Brown, Tom Lehrer and Calvin Trillin. The announcer was Jerry Damon. Also a guest was Woody Allen, performing stand-up comedy; the guest star on the final broadcast was Steve Allen. A running gag was a mock feud with Jack Paar, whose own programme followed TW3 on the NBC Friday schedule; Paar repeatedly referred to TW3 as "Henry Morgan's Amateur Hour."  The American version is largely a lost program, although the pilot survives and was donated to the Library of Congress by a collector. Amateur audio recordings of most episodes also survive. After the series' cancellation, Lehrer recorded a collection of his songs used on the show, That Was The Year That Was, released by Reprise Records in September 1965.  In the American version, an episode showed a smiling U.S. President Lyndon B. Johnson contemplating an easy 1964 campaign against the Republican nominee, U.S. Senator Barry M. Goldwater of Arizona. The satirists sang that Goldwater could not win because he "does not know the dance of the liberal Republicans", then a substantial component of the GOP, many of whose members had supported Governor Nelson A. Rockefeller of New York for the Republican nomination.  On April 21, 1985 in the United States, the ABC network aired That Was The Week That Was as a special, hosted by David Frost (also serving as an executive producer) and Anne Bancroft, and featuring future Saturday Night Live cast members Jan Hooks and A. Whitney Brown and puppetry from Spitting Image.  Kristy Glass and Kevin Ruf starred in a remake of TW3 for ABC's Primetime Live in the fall of 2004. Soon after its premiere, Shelley Ross, the executive producer, was fired and TW3 ended with her dismissal.

Was it cancelled?
After the series' cancellation, Lehrer recorded a collection of his songs used on the show,