Perhaps you're thinking of one of the following:
* "Cut a rug": This idiom means to dance enthusiastically, often in a lively or energetic way.
* "Cut a dash": This idiom means to make a striking or impressive appearance, often with a flair for style or confidence.
* "Cut a figure": This idiom means to make a particular impression, especially one that is noticeable or memorable.
Could you provide more context about where you heard the phrase "cut a mean"? That might help clarify what you're looking for.