Gas cook top makes the ticking sound

Relay clicking,

the switch for the ignitor is stuck. might need to free the switch, of
> call the repair man.

Hi,
Here is a tip that I wrote that will help figure out why the burner spark keepson clicking...

Gas Range RepairBurners Keep on Clicking
heatman101

This sounds like a burner switch.There is one under every knob there are two wires going into them. i think the part number is 7403P367-60.

Hi, normally what causes the igniter to keep clicking is spilling water or something down into the knob area. The water is causing a short circuit in the switch which is mounted on each burner valve shaft. If unplugging the range for several days to allow drying doesn't fix the problem, then one of the switches will need to be replaced.

As it relates to 5 burner gas cooktop Model Number JGP 963SEJ1SS
First - Ignite the flame then reduce the flame to between low and medium.  If the igniter continues to click, you most likely have a contact switch issue related to the problem burner.  
Unplug the cook top and turn off the gas.  After the gas is turned off, disconnect the gas line.  
Remove the cook top.  

Unscrew and Remove ALL of the burner bases by lifting them up.  The ceramic igniters may be difficult to remove but they will come loose if worked out slowly.  
Pull of the wire connected to the igniter. 
Remove to cook top top plate from the base, exposing the internal gas valves and wiring.
All of the burners are wired in parallel.   Lift off and unsnap the casing of the problem igniter switch.  The repair may require something as simple as, 1- cleaning the contact strips, or 2- slightly bending the non stationary contact strip to keep it from coming in contact with the stationary contact when in the off position, or 3- replacing the switch. 
Unless you comfortable and understand how electric systems and switches work, this is a job for a qualified repair person. 

I accidentally bumped the thing where the gas comes out (I don't know what it's called - I'm a wife not a tekkie) and it started clicking when I turned it on. I turned off the gas and repositioned that gizmo and it stopped clicking.

Dirt. Spilled oil, grease, milk etc. act as isolator and prevent contact between burner and casing (mass). You need to clean up burners, scrub all the dirt and make sure their seats are cleaned too (brass elements below burners).

Our GE cook-top burner igniter has started ticking even when the oven is shut off. Even after cleaning the bottom of controls the ticking persists. Any suggestions? Thanks