fingerbreadth is a good synonym for "Inch" used in a sentence, If there are options and this is not one of them; please comment below and tell me the options, Thank! :)
The best synonym to the word "inch" could be "crawl" as both suggest a short movement. Inch refers to a very short distance as we often say "Don't move an inch" similar to crawl that means to move slowly with frequent stops like we say "The rush-hour traffic crawled around the ring road". However, not completely, yet the word 'crawl' among the given option would best complement the meaning of 'inch'.