WARNING: THE EDGAR SYSTEM ENCOUNTERED ERROR(S) WHILE PROCESSING THIS SCHEDULE.
<TABLE> <S> <C>
<ARTICLE> 6
<RESTATED>
<CIK> 0000882901
<NAME> NUVEEN TAX-FREE UNIT TRUST
<SERIES> Series 680
<NAME> MINNESOTA INSURED TRUST
<NUMBER> 4
<MULTIPLIER> 1
<CURRENCY> U.S. DOLLARS
<FISCAL-YEAR-END> FEB-29-2000
<PERIOD-START> MAR-01-1999
<PERIOD-END> FEB-29-2000
<PERIOD-TYPE> YEAR
<EXCHANGE-RATE> 1
<INVESTMENTS-AT-COST> 3,335,922
<INVESTMENTS-AT-VALUE> 3,359,442
<RECEIVABLES> 39,181
<ASSETS-OTHER> 18,386
<OTHER-ITEMS-ASSETS> 0
<TOTAL-ASSETS> 3,417,009
<PAYABLE-FOR-SECURITIES> 0
<SENIOR-LONG-TERM-DEBT> 0
<OTHER-ITEMS-LIABILITIES> 5,743
<TOTAL-LIABILITIES> 5,743
<SENIOR-EQUITY> 0
<PAID-IN-CAPITAL-COMMON> 0
<SHARES-COMMON-STOCK> 34,801
<SHARES-COMMON-PRIOR> 36,286
<ACCUMULATED-NII-CURRENT> 52,748
<OVERDISTRIBUTION-NII> 0
<ACCUMULATED-NET-GAINS> 1,454
<OVERDISTRIBUTION-GAINS> 0
<ACCUM-APPREC-OR-DEPREC> 23,520
<NET-ASSETS> 3,411,266
<DIVIDEND-INCOME> 0
<INTEREST-INCOME> 190,110
<OTHER-INCOME> 0
<EXPENSES-NET> 5,391
<NET-INVESTMENT-INCOME> 184,719
<REALIZED-GAINS-CURRENT> 5,014
<APPREC-INCREASE-CURRENT> -213,172
<NET-CHANGE-FROM-OPS> -23,439
<EQUALIZATION> 0
<DISTRIBUTIONS-OF-INCOME> 186,827
<DISTRIBUTIONS-OF-GAINS> 0
<DISTRIBUTIONS-OTHER> 0
<NUMBER-OF-SHARES-SOLD> 40,000
<NUMBER-OF-SHARES-REDEEMED> 5,199
<SHARES-REINVESTED> 0
<NET-CHANGE-IN-ASSETS> -358,872
<ACCUMULATED-NII-PRIOR> 54,856
<ACCUMULATED-GAINS-PRIOR> -3,560
<OVERDISTRIB-NII-PRIOR> 0
<OVERDIST-NET-GAINS-PRIOR> 0
<GROSS-ADVISORY-FEES> 0
<INTEREST-EXPENSE> 0
<GROSS-EXPENSE> 0
<AVERAGE-NET-ASSETS> 0
<PER-SHARE-NAV-BEGIN> 0
<PER-SHARE-NII> 0
<PER-SHARE-GAIN-APPREC> 0
<PER-SHARE-DIVIDEND> 0
<PER-SHARE-DISTRIBUTIONS> 0
<RETURNS-OF-CAPITAL> 0
<PER-SHARE-NAV-END> 0
<EXPENSE-RATIO> 0
[AVG-DEBT-OUTSTANDING] 0
[AVG-DEBT-PER-SHARE] 0
</TABLE>
