The phrase "more unquenchable" suggests an insatiable desire for something or an intense thirst that cannot be satisfied. Synonyms for this phrase include "everlasting," "unstoppable," "incessant," "unrelenting," "unyielding," and "indefatigable." These words convey the idea of something that cannot be contained, restrained, or quenched, and can be used to describe emotions, desires, or needs that persist despite obstacles or challenges. Whether it's a thirst for knowledge, a hunger for success, or a burning passion, the phrase "more unquenchable" and its synonymous expressions capture the essence of an unrelenting drive to achieve one's goals.