Ice cubes WILL BE slightly moist when they land in the ice bucket. they've just been slightly melted in order to eject from the ice maker. Stop playing with the settings, for starters. put them back to normal, i.e., middle setting, place thermometer in center of freezer, and if you can, one in center of fresh food. monitor after 24 hours, and for the next three days thereafter. freezer temps should be in the -5 - +5°F, sometimes up to 10°, fresh food should be 35-40, sometimes up to 44°at the normal settings. If you are not having temperature issues, see if you notice any frozen drips of water on the underside of icemaker, indicating a possible crack in the ice maker mold, or a faulty water valve. You didnt include your model and serial number, so not knowing the path of the ice shoot, some go out the freezer door, some slide over and get dispensed from the fresh food side. Its possible you may have a problem instead with the flapping door that opens to allow ice cubes to be dispensed, or similar type mechanism. If this door does not seat completely when its closed, it will leak warm air directly into the ice bucket, which would make them slightly moist, also too, this warm air can cause frost and ice to buildup near the warm air source...look for any unusual forms of ice and or frost leading up from the flapping door to the ice bucket. Also look for any gaps in the door gasket when closed, this warm air leak can also cause similar problems, but its most likely with the ice door. could be the door, the spring, the solenoid, or something else i wouldn't know without personal refrigerator inspection.