If you can hear a clicking sound, then it should be working.
Easiest way to check it is to remove it, hold it against the frame away from gas and turn the key. You should be able to see the plunger go up and down.
When you remove the shut-off solenoid, gas should drain from the bowl. If not, then gas is not getting to the bowl. If gas does drain from bowl, then a jet inside is clogged.
I am not sure how your fuel pump is set up. Check the vaccuum line for the fuel pump and make sure it isn't cracked.
A bad or incorrectly gapped sparkplug could also cause issues.