"Cuts no ice" can be used as an antonym for the phrase "cut some ice." While "cut some ice" implies having an impact or influencing others, "cuts no ice" suggests the opposite. This phrase is often used to convey that someone's ideas or opinions are not taken seriously or have no effect on others. Another antonym could be "sits on the fence," which means to be neutral or indecisive, ultimately having no effect on a situation. These antonyms show that the word "cut" can have opposite meanings depending on the context in which it is used.