Clothes are still drenched after Rinse cycle, what

This assumes that you have a basic Kenmore / Whirlpool top load, direct drive, neutral drain (it doesn't spin until the pump removes most of the water) machine.

First, see the Sears parts site for your washer:
http://www.searspartsdirect.com/partsdirect/index.action

Enter your model number (###.######) and you'll see a list of major sub-components with diagrams and parts.

If the Washer spins the problem points to either clogged hoses to and from the pump or a defective pump itself.

First see the following for how to "replace" the pump.
http://www.american-appliance.com/catalog/newsdesk_info.php?newsPath=16&newsdesk_id=134

Check the hoses for obstructions and manually check to see if the pump is blocked and/or if it will turn.