When I was a student (early 1980s) a fellow student was an active member of the Communist Party of Britain (Marxist-Leninist). He was keen to make sure people knew this was very different from the Communist Party of Great Britain. People's Front of Judaea indeed!
Wikipedia tells me this about the CPB(M-L), which I am amazed to see is still in existence.
The party was formed in 1968 by Reg Birch as a Maoist, anti-revisionist breakaway from the Communist Party of Great Britain, siding with the Communist Party of China in the Sino-Soviet split.[1] From 1979 onwards the CPB-ML sided with Enver Hoxha in the Sino-Albanian split.[2] A small number of members split from the party in 1975, forming the Nottingham Communist Group. In 1976, three branches of the CPB-ML split and formed the Communist Workers Movement, initially under the leadership of Ian Williams.[3] This group later joined the Revolutionary Communist League of Britain. In the 1980s, the CPB-ML came to support the Soviet Union again for a period, before dropping this line over Mikhail Gorbachev's reforms. More recently, the CPB-ML has developed a national line for Britain: "Rebuild Britain"; the party is strongly opposed to the European Union.[4] The party published The Worker from 1969 until 2000, when it became Workers.
That last sentence cracks me up. 31 years to persuade a second worker to support them! 
It all reminds me of the endless schisms in the Free Church of Scotland.