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                                                                   EXHIBIT 23.2
 
                    CONSENT OF CERTIFIED PUBLIC ACCOUNTANTS
 
  As independent public accountants, we hereby consent to the use of our
report dated February 6, 1996 (except with respect to the matters discussed in
Notes 10 and 11.A., as to which the dates are February 20, 1996 and February
8, 1996, respectively) (and to all references to our Firm) included in this
Form S-3 and its incorporation by reference into ACC Corp.'s previously filed
Registration Statements No. 33-30817, No. 33-36546, No. 33-52174, No. 33-
87056, and No. 33-75558.
 
                                          Arthur Andersen LLP
 
Rochester, New York,
 February 22, 1996
