The only time I had a problem like that, I had just finished washing my Jeep when my next door neighbor pulled out saying it will never run right again since I washed it! Well, go to move my car back to the driveway, no start. I was furious that someone had jinxed me, but I was getting the same thing, solenoid click. Started looking at everything, connections, terminals, wires etc. Come to find out one of the terminals had a hairline crack in it which I didn't see until I went to pop it off, darn near busted in two! My neighbor felt so bad when he got home that he went and bought two new terminals. Hooked it back up and she started up just fine! Good luck!