Many customers call me with a gas stove top that is continuing to click. This almost always happens after something has either boiled over or has spilled onto the burner control knobs area. What happens is that the liquid from the boil over gets into the switches and shorts it out. If its just water, or a thin liquid, you may be able to let it dry out.
I recommend that you unplug it or turn the breaker off for at least 48 hours. If it still clicks, or doesn’t work to light the stove top after that, you will probably need to have the switch replaced on the stove top burners.
Some of the switch replacements are a relatively straightforward job while others can be a little tedious. If you are in the Katy area and have this problem, let us know if you need our help.