I'm not familiar with the setup on that vehicle. When you say the fuel pump, is it coming from the injection pump it self, or the in-tank pump, if it has one?
Probably something that needs a visual inspection.
I've noticed that some vehicles do a lot of clicking on startup, and have put it down to the heater plug solenoid. On newer ones, it's not just a case of the plugs coming on and then going off, they turn themselves on and off depending on the temperature, and feed back they get from sensors.