Over the years there has been a number of operators doing the Jersey service all be it on a Saturday the last was Aurigny Air Services with there Shorts 360 which has departed the company.

Some other operators before to name but a few.
Intra Airways with there fleet of Dakotas and Viscount 700 25 Years or so ago.
British Midland operated with there Viscount 700s before that.

I am lead to believe these flight were tied in with one of the local travel agents and were mainly weekend summer only.