"By skin of one's teeth" is a phrase commonly used to describe a narrow escape from danger or a close call. There are several synonyms that can be used to convey a similar meaning. One such synonym is "barely making it," which implies that the person or situation narrowly avoided disaster. "Just escaping" is another similar phrase that conveys the same meaning as "by skin of one's teeth." "Narrowly avoiding" and "having a close shave" are also effective substitutes for this phrase. Regardless of which synonym is used, they all convey the same sense of near-miss or close call.