Financial Institutions Examination Fairness and Reform Act This bill amends the Federal Financial Institutions Examination Council Act of 1978 to: set deadlines for final examination reports and exit interviews of a financial institution by a federal financial regulatory agency, and establish the Office of Independent Examination Review to adjudicate appeals and investigate complaints from financial institutions concerning examination reports. The bill also requires the establishment of an independent internal agency appellate process at the Consumer Financial Protection Bureau (CFPB) for the review of supervisory determinations made at institutions supervised by the CFPB.