Pete Stampede and Alan Hayes wrote of Jeavons in the latter series as "one of those under-rated, ever-present supporting actors who never turn in a bad performance.
He also appeared in the 1981 Doctor Who spin-off K-9 and Company, and he narrated two BBC children's animated series, namely Barnaby and Joe.
He appeared as Samson Brass in another BBC Dickens production, The Old Curiosity Shop (1979), and in another version of Great Expectations (1981), this time as Wemmick.
His most critically acclaimed role during this period was as the neglected and abused child, Donald, in Dennis Potter's Blue Remembered Hills (1979).
[3] In the 1981 TV production of The Hitchhiker's Guide to the Galaxy, he portrayed Max Quordlepleen, an entertainer who hosts at Milliways, the Restaurant at the End of the Universe.
In 1984, he played the existentialist philosopher Søren Kierkegaard in the "Prometheus Unbound" episode of Don Cupitt's Sea of Faith for BBC.
Jeavons featured in the 1990 television drama House of Cards by Michael Dobbs, as Tim Stamper, Tory Whip and ally of Ian Richardson's Francis Urquhart.
The character returned – promoted initially to Chief Whip, then to Party Chairman – in the 1993 sequel, To Play the King.