Is your presure switch in an easy place to listen for it to cycle? If so first confirm it does not cycle when you are not using water. Turn the water on and watch when the pump comes on and off. Typical 30psi-on and 55psi-off. This time, turn on the water so you can get the psi down close to point where the pump will turn on. Let it set for ten min. This will determine if you have a leak any place.
Second, check your tank blader presure. Mine is at 32 psi. Well pumps need the air blader because water is not compressable. Low blader pressure will cause quick on-off pump cycles. Good presure will have long cycles.
Last, are running it dry? Why is the pump so far off the bottom? Around here, 20-30' off the bottom is normal.