The only possible license I am aware of in our area is the one for NorWest Energy (Au) and that is in or around Bournemouth, see:
Norwest Energy - United Kingdom
. . . and we already have Wytch Farm that has been there for close to a generation already and the newer Wareham Field and Waddock Cross field.
Offshore from there the licenses are currently under reapplication, with no guarantee of being granted.
Parenco hold the license a little further West, but even that is due to expire at the end of this month, and I doubt that they will reapply either.
I am as deeply concerned as you are about the Hampshire Avon Valley so i keep a close watch on the Companies involved.
To date however, there has not been cause for concern.