Source : Webster's Revised Unabridged Dictionary (1913)

Fagend \Fag"*end"\, n.
   1. An end of poorer quality, or in a spoiled condition, as
      the coarser end of a web of cloth, the untwisted end of a
      rope, ect.

   2. The refuse or meaner part of anything.

            The fag-end of business.              --Collier.