Source : Webster's Revised Unabridged Dictionary (1913)

Bandbox \Band"box`\, n.
   A light box of pasteboard or thin wood, usually cylindrical,
   for holding ruffs (the bands of the 17th century), collars,
   caps, bonnets, etc.

Source : WordNet®

bandbox
     n : a light cylindrical box for holding light articles of attire
         (especially hats)