I was involved in the running of Chilterns GC at RAF Benson from 1963 until we moved to RAF Abingdon at the beginning of 1971. We had a very close liaison with the club at Booker, particularly when Norman Smith was CFI.
We used to get some Booker chaps down for the weekend to give them some experience in winch launching before they went on their instructor's courses never having done a winch launch before.
I know that Chilterns winch-launched from Booker when the club was formed there in 1958 before moving to Benson around 1960. However, I suspect that the civilian club at Booker has always used aerotows.