The phrase "chops off one head" is a common expression used to convey the act of eliminating someone or something completely. There are various synonyms for this phrase that can be used in different contexts. For instance, the words "beheads," "decapitates," and "severs" can be used to express the same sentiments. Other synonyms include "cuts out," "eliminates," and "eradicates." Additionally, phrases like "takes out," "puts an end to," and "gets rid of" can be used to communicate the same idea. Overall, there are numerous synonyms for the phrase "chops off one head," each conveying a different tone and nuance.