The Collaborative International Dictionary of English v.0.48:

Syringe \Syr"inge\, v. t. [imp. & p. p. Syringed; p. pr. & vb.
   n. Syringing.]
   1. To inject by means of a syringe; as, to syringe warm water
      into a vein.
      [1913 Webster]

   2. To wash and clean by injection from a syringe.
      [1913 Webster]