The phrase "cutting no ice" is an idiom that means to have no effect or influence on something or someone. There are several synonymous expressions that can be used in place of this phrase, such as "falling on deaf ears," which tells us that our words or actions have no effect on the person that we are addressing. Another term that can be used is "making no headway", which means that no progress is being made in a certain situation. We can also say that something is "fruitless" or "pointless" if it has no impact on the outcome. These words and phrases can be used interchangeably with "cutting no ice" to convey the same meaning.