Chosen Solution
Washer is draining and spinning but clothes are still dripping wet. Takes 2 or 3 extra spin cycles to get them drained enough. Drain hoses and water pump are clear of clogs. How do you know if a water pump does not work? Update (07/23/2018)
I have attached a picture. Please let me know if it does not work
@niefs that sounds more like an issue with the drive for the spin mode. Could be a clutch issue. Depending on your exact model, if the clutch slips your washer will not spin fast and forceful enough to get the water out of the clothing. Let us know the model number so we can get you more information on that. Update (07/24/2018) You want to go ahead and check the clutch first. You could temporarily hold the lid switch down and open the cover while the machine is spinning. Check the spin speed and see if it is slow and if your machine has trouble spinning the load. The clutch looks like this
It is available at places like this and many others. Use this video for the repair