Fuel system leak check
These clicks are uniform in sound, like a fast clicking clock that varies every 1/2 to 3/4 of a second between clicks and last for about a minute, then it goes away. Very strange.
That very well could be perfectly normal. It is part of the evaporative emissions controls, checking for fuel system vapor leaks each duty cycle.
There is a pump that is pressurizing your fuel system. It operates pretty much the way you describe. It pumps a short time to achieve a set pressure and then stops. It typically sounds like its coming from the right rear corner.
If the pump can not acheive and maintian a set pressure, it will determine there is a leak in the system and turn on your "Gas cap" indicator, as that is the most common cause.
I typically hear it shortly after starting out and occasionally during refueling. My Mk IV did the same thing, although a leak triggered a CEL on the Mk IV instead of the dedicated gas cap indicator found on the Mk V.
The typical fuel line rattles emanate from more to the front below passenger floor or slightly forward of that. Often they can be traced to accel / deccel / engine rocking and will occur repeatedly.
The fuel pressurizing is unrelated to driving and usually occurs when starting out.