Ok, this issue made me curious, so I looked at it in detail.
In short: Both in UK and in Germany you're entitled to drive double clutch gearboxes with auto only driving licences.
The
U.K. Driving Licences Order 2007 defines the following:
Interpretation
2. In this Order—
(b) “vehicle with automatic transmission” means a vehicle in which either—
(i) the driver is not provided with any means whereby he may vary the gear ratio between the engine and the road wheels independently of the accelerator and the brakes, or
(ii) he is provided with such means but they do not include a clutch pedal or lever which he may operate manually [...]
This means that DCT cars fit in the second category (ii) and are considered to be vehicles with automatic transmissions. So with a "B auto" licence you can also drive an M3 DCT for example.