Hairs-breath is a phrase that is used to describe a very small or narrow margin of distance or time. However, there are several other words that can be used to convey a similar meaning to this phrase. These synonyms include whisker, fraction, hairline, sliver, narrow, tight spot, close call, near miss and narrow escape. All of these words convey the idea that something was very close, and it was only a matter of luck or fate that prevented a more disastrous outcome. These synonyms can be used in different contexts, such as describing a close call in sports, a narrow escape from danger or a small margin of error in business or finance.