The Collaborative International Dictionary of English v.0.48:

Wad \Wad\, v. t. [imp. & p. p. Waded; p. pr. & vb. n.
   Wadding.]
   [1913 Webster]
   1. To form into a mass, or wad, or into wadding; as, to wad
      tow or cotton.
      [1913 Webster]

   2. To insert or crowd a wad into; as, to wad a gun; also, to
      stuff or line with some soft substance, or wadding, like
      cotton; as, to wad a cloak.
      [1913 Webster] Wad

The Collaborative International Dictionary of English v.0.48:

Wadding \Wad"ding\, n. [See Wad a little mass.]
   [1913 Webster]
   1. A wad, or the materials for wads; any pliable substance of
      which wads may be made.
      [1913 Webster]

   2. Any soft stuff of loose texture, used for stuffing or
      padding garments; esp., sheets of carded cotton prepared
      for the purpose.
      [1913 Webster]

WordNet (r) 3.0 (2006):

wadding
    n 1: any material used especially to protect something [syn:
         packing material, packing, wadding]

Moby Thesaurus II by Grady Ward, 1.0:

21 Moby Thesaurus words for "wadding":
   bush, bushing, doubling, doublure, facing, filler, filling, gasket,
   gland, inlay, inlayer, insole, interlineation, liner, lining,
   packing, padding, stopping, stuffing, tampon, wainscot