Hi, thanks for using JustAnswer.com. You say the unit will drain but not recirculate the water. This machine reverses the motor for pumping the water out, so there is nothing caught in the impellers. That only leaves one possible culprit, the motor itself. The clicking you refer to is likely the motor overload. The motor/pump assembly is part number 99002481 and is available at www.myapplianceparts.com or from your local parts retailer.
Thank you for your response.
If the motor works the pump to drain the water out, then why doesn't it work in the other direction? Does the motor have to work harder to recirculate the water than it does to drain?