The phrase "tinker's dam" is a colloquialism that refers to an insignificant amount of something. However, there are several alternative ways to express the same idea, such as "a drop in the bucket," "a mere trifle," or "a small pittance." Other synonyms include "a small sum," "a paltry amount," or "a trifling matter." Each of these phrases conveys the concept of something being of relatively little importance or value, and can be used interchangeably with "tinker's dam" to add variety to one's speech or writing.