The Collaborative International Dictionary of English v.0.48:

Dye \Dye\ (d[imac]), v. t. [imp. & p. p. Dyed (d[imac]d); p.
   pr. & vb. n. Dyeing.] [OE. deyan, dyen, AS. de['a]gian.]
   To stain; to color; to give a new and permanent color to, as
   by the application of dyestuffs.
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         Cloth to be dyed of divers colors.       --Trench.
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         The soul is dyed by its thoughts.        --Lubbock.
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   To dye in the grain, To dye in the wool (Fig.), to dye
      firmly; to imbue thoroughly.
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            He might truly be termed a legitimate son of the
            revenue system dyed in the wool.      --Hawthorne.

   Syn: See Stain.
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The Collaborative International Dictionary of English v.0.48:

Dyeing \Dye"ing\, n.
   The process or art of fixing coloring matters permanently and
   uniformly in the fibers of wool, cotton, etc.
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WordNet (r) 3.0 (2006):

dyeing
    n 1: the use of dye to change the color of something permanently