If the ice makers keeps pumping water there are 2 things that could be wrong.
1. The water solenoid could be stuck open. If the compressor turns on, that is probably the problem.
2. Inside the 'box' inside the ice maker, the ice maker unit has a front cover. The way these work is timing. Once the ice maker unit calls for the ice to be ejected, a gear turns which turns heater on and starts the arm turning a 360 turn to push the ice out. During this cycle near the end after the ice has been ejected, the water solenoid is tuned on to inject water. The solenoid is left on for a short period as the arm turns around 360 degrees. Problem could be the arm is stuck in the position to turn on the water solenoid. Take the front cover off the ice maker unit inside the box(snaps off I think) and see if the unit is rotating. If not, might be jammed or gear broken or something like that. If the water keeps pumping, I would turn water off , turn unit on and let it run to see if maybe the gear is just stuck a little, might lessen itself up after a second or two.
Hooe this makes sense! If not just ask I will try to explain it better.