sleeveholder

noun1

1. •
   A band made of fabric, elastic or coiled wire worn on the upper arm to hold the shirtsleeve up and prevent the cuff from protruding too far out of the jacket sleeve.

   • The sleeves of the shirt were too long. A pair of sky-blue, rosette-fastened, satin ribbon sleeve-holders above his elbows kept the cuffs from slipping over his hands. — 1920