The Collaborative International Dictionary of English v.0.48:

Rinse \Rinse\, v. t. [imp. & p. p. Rinsed; p. pr. & vb. n.
   Rinsing.] [OE., fr. OF. rincer, rimser, reinser,
   ra["i]ncier, F. rincer; of uncertain origin.]
   1. To wash lightly; to cleanse with a second or repeated
      application of water after washing.
      [1913 Webster]

   2. To cleancse by the introduction of water; -- applied
      especially to hollow vessels; as, to rinse a bottle. "Like
      a glass did break i' the rinsing." --Shak.
      [1913 Webster]

WordNet (r) 3.0 (2006):

rinsing
    n 1: the removal of soap with clean water in the final stage of
         washing [syn: rinse, rinsing]

Moby Thesaurus II by Grady Ward, 1.0:

105 Moby Thesaurus words for "rinsing":
   ablution, affusion, aspergation, aspersion, baptism, bath, bathing,
   bedewing, bones, chaff, cleaning out, culm, dampening, damping,
   deadwood, deluge, dewing, dishwater, douche, douching, draff,
   dregs, drowning, dust, elution, elutriation, enema, filings,
   flooding, flush, flushing, flushing out, garbage, gash, hogwash,
   hosing, hosing down, humidification, husks, immersion, inundation,
   irrigation, lathering, lavabo, lavage, lavation, laving, leavings,
   lees, moistening, mopping, mopping up, offal, offscourings, orts,
   parings, potsherds, rags, raspings, refuse, rinse, scouring,
   scourings, scrap iron, scraps, scrub, scrubbing, scrubbing up,
   scum, shampoo, shards, shavings, slack, slag, slop, slops, soaping,
   sparging, spattering, splashing, splattering, sponge, sponging,
   spraying, sprinkling, stubble, submersion, swabbing, swashing,
   sweepings, swill, tares, wash, washing, washing up, washout,
   washup, wastage, waste, waste matter, wastepaper, watering, weeds,
   wetting, wiping up