The Collaborative International Dictionary of English v.0.48:

Counterchange \Coun`ter*change"\ (koun`t[~e]r*ch[=a]nj), v. t.
   [imp. & p. p. Counterchanged (-ch?njd"); p. pr. & vb. n.
   Counterchanging.]
   1. To give and receive; to cause to change places; to
      exchange.
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   2. To checker; to diversify, as in heraldic counterchanging.
      See Counterchaged, a., 2.
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            Witch-elms, that counterchange the floor
            Of this flat lawn with dusk and bright. --Tennyson.
      [1913 Webster]