The ice is forming on the liquild freon line because there's a pressure difference between it and the gas side. As said before, this is usually caused by low freon or dirty condensor. Since the unit is brand new, I'd bet it's not the condensor. Call Current first, as this should be under their 1 year warranty.
Agree on checking the warranty for it. The guy should be able to easily check for any freon leak on that unit. Once the case is off all is exposed and I'm sure he has a leack detector if he's an A/C guy.
Thanks everyone for all the input. Unfortunately I bought the chiller over a year ago and didn't start using it until a month and a half ago, so the warrantee has expired.
Eric:
I'll contact you to get the phone number of the A/C guy.