Clothes are not completely rinsed (they're soaking wet) at very end of spin cycle.

It is normal for a washer to spin and spray fresh water over the clothes during rinse period. I don’t know why it would leave clothes wet. Look at your options. See if you can turn off rinse n spin to just spin.

Hose could be clogged up.Take hose off and see,maybe run with hose off for a sec.

What is the model number of the unit?

clean your filter

Could be a gearcase problem or a motor coupler problem or a clutch problem .Best off to call a reputable service company such as Sears.

I am having the same problem on a WD9900A. The wash cycle works great. Spins fast and clothes are completely rung out. Dryer cycle heats up well. Fluffs and heats cloths. At some point during dry cycle water is injected on clothes and they end up sopping wet; much wetter than after wash. Filter is clear. Outlet pipe clear and functions well. Possible problem with dryer timer? Or washer timing kicking back on?

I had that problem at one time with my old washer and what it ended up being was the Washer Dog Agitators were broken and causing the it to slip and not spin correctly. I would try checking the Dog Agitators.
Here's A picture of a typical top-load washer breakdown to show you where they are located --->Here<---
I hope this helps. If that is the problem I bought mine at Sears for about $8, normally in stock item.
Let me know if there is anything else I can do.

If the pump is clogged and can't release all the water it won't go into final high spin. Remove lower cover and locate coin catch and unscrew it. Water will come out, so be ready. If it's full of stuff, this is probably the problem.

check the drain hose for any blockages or kinks and check to make sure water passes through it freely. it may be that it's just not emtying quick enough and therefore clothes remain wet. in a worse case scenario the pump itself could be faulty :(