What is a greek word for shopaholic?

There isn't a single, established Greek word for "shopaholic." The concept is relatively modern. You would need to use a descriptive phrase. Here are a few options, depending on the nuance you want to convey:

* εξαρτημένος από τα ψώνια (exartēmenos apo ta psōnia): This translates literally to "dependent on shopping," and is probably the closest and most understandable option.

* μανιώδης αγοραστής (maniōdēs agorastēs): This means "maniacal buyer" or "compulsive buyer," highlighting the obsessive aspect.

* αχαλίνωτος αγοραστής (achalinos agorastēs): This translates to "unbridled buyer" or "unrestrained buyer," emphasizing the lack of control.

You could also use a more colloquial phrase, but its understandability might depend on the listener's familiarity with modern slang. The above options are safer and more widely understood.