jibs are made from sailcloth, which like all woven cloths, is made from two sets of threads (warp and weft) interwoven at right angles to each other. There is a right way and a wrong way (probably lots of wrong ways) of cutting a triangular piece out of such a cloth, so that it will maintain its shape during the sail’s lifetime, and have maximum resistance to deformation and tear under stress. Sailing ships carried an expert sailmaker who should know how to cut sailcloth, and an experienced sailor would be able, just by looking, to tell the difference between an inexpertly cut jib and a properly done job. Why a jib? because the jib’s triangular, whereas the major sails of a square-rigged ship (excepting staysails and such) would be square, or trapezoidal, and correspondingly easier to cut properly.
I don’t believe the figure of speech is necessarily a reference to a person’s physical or facial features. I think its meaning is best explained in the dictionary reference quoted by venomousbede.