Most timely warning. Thanks Wellie. I have successfully grown french tarragon cuttings. The thing with the french tarragon is that it is quite tender. Mine dies back every winter, usually after I've harvested quite a bit for the freezer, taken cuttings etc.
It is not great dried, much better fresh or frozen. For a great use try this
Sauted Chicken with Mussels, Tarragon and Chardonnay
Most delicious.
Also great if you shove a few sprigs in a bottle of white wine vinegar. Very easy and tastes divine.