The high level water alarm intermittently beeps and the pump starts and stops several times before clearing out the water

On the controls to the pump there is a float, or 2 floats that control wheather the pump is on, or off. I don't know wheather this one has one float or 2 so i will give a short explanation for either fix.

Little giant usually has 1 float on a length of cord, or 1 float with a rigid frame that it goes inside, or has a guide rod. No matter which system is employed there is a built in dead band for the interval between when the pump turns on at a high level, and when it shuts off at a low level. If the float is on a rod, or in a cage it needs to be able to move freely. There is a method to control the turn on height, and the turn off height with some little clamps that connect to the switch. So when the liquid level gets high the pump turns on, and then when the liquid level gets to the lower limit the pump automatically shuts off. If these little keepers are right near the top of the float, and right near the bottom of the float then as soon as the pump turns on the liquid level drops just a bit, and the dead band is real small, so it just shuts right off. the liquid flows backward through the pump and then it turns back on, ect... If this is the case move the adjustments that surround the float. Presto.

If it has a little float on a cord then the adjustment for the level needs to be secured to the discharge pipe or something. It has a mercury switch inside the float to turn it on, and probably another to turn it back off when the float goes to a desired level just above the suction at the base of the pump. I would use black zip tie's to hold the cord so that the desired "turn on the pump level", and the propper "turn off the pump level" are what you want. Just hold the cord against the discharge pipe so that the float is above the suction opening to the pump, and the strait up level of the float are what you want.

If it has 2 floats on cords then one of the floats will turn the pump on if both are held upright by the liquid level. This float must be the top float that is mounted on the discharge pipe. If the 2 floats are mounted in the reverse position then the pump will cycle quickly. There will be a nearly nonexisting dead band. Both will be upright but the control circuit will shut the pump off when the top float, which should be on the bottom, lowers even slightly. Use the same method as perscribed above to attach the floats. The one that belongs on the bottom, the one that turns the pump off, should be placed so that the pump will shut off before it tries to pump air. the top float will turn the pump on if it and the lower float are both upright.

Presto.