The Collaborative International Dictionary of English v.0.48:

Neckband \Neck"band`\, n.
   A band which goes around the neck; often, the part at the top
   of a garment.
   [1913 Webster]

WordNet (r) 3.0 (2006):

neckband
    n 1: a band around the collar of a garment
    2: a band that fits around the neck and is usually folded over
       [syn: collar, neckband]
    3: necklace that fits tightly around a woman's neck [syn:
       choker, collar, dog collar, neckband]