Finger's breadth is a specific measurement which refers to the width of a finger. However, there are several synonyms that can be used in its place to describe a small distance or width. These synonyms include hairbreadth, whisker, micrometer, or minute measurement. They can be used to describe anything from a close call to a slight adjustment in measurement. In the context of measurement or estimation, terms such as fine tuning or fine adjustment can be used. In general, the use of synonyms can help add variety to writing and make it more engaging for the reader.