Wells was one of the original contributors to the satirical magazine "Private Eye" and contributed to "Mrs Wilson's Diary", the long-running spoof journal of the wife of Prime Minister Harold Wilson. From 1979 he repeated that success with "Dear Bill", a series of letters (co-written with Richard Ingrams) supposedly sent by Denis Thatcher, husband of Prime Minister Margaret Thatcher, to Bill Deedes. Wells developed the feature into a stage farce, "Anyone for Denis?", first performed in 1981, in which he played Denis Thatcher. Co-starring Angela Thorne as Mrs. Thatcher, the play was a major West End hit, toured the UK and was adapted for television. Wells also played Denis Thatcher in the Bond movie "For Your Eyes Only" (1981). In 1991, he and Thorne again played the Thatchers in "Dunrulin", a one-off TV sitcom-like satirical look at the couple in retirement. He also voiced Arnold the Elephant, Edward the Monkey and Bert in the children's TV series "Charlie Chalk".