Fuel pump relay rapid clicking noise?

It will do this if the fuel pump is pulling too many amps or the there is a bad connection. Here is a guide to help you check and the wiring diagrams so you can see how the relay works and how it is wired:

https://www.2carpros.com/articles/how-to-check-wiring

Check out the diagrams (below). Please let us know what happens. If everything checks out replace the fuel pump.