First, there is no such thing as a waterlogged pump, especially not submersible pumps, which are always supposed to be submerged in water…
Waterlogged TANKS, on the other hand, are a common problem. These tanks have lost their head of air and are nearly filled with water. The compressible head of air is essential for the tank to function properly.
The main symptom of a waterlogged tank is that the pump either cycles frequently or runs continuously when you are using water.
You seem to be describing another problem, however, which is that the pump seems to come on after 10-45 minutes. This would not be a problem if it was associated with using water. So I must assume it occurs when you are NOT using water.
The most likely cause of that problem is that you have a LEAK somewhere in your water supply system.