The 1st of february 1997 is written in the header as: 61h 02h 01h. If your computer can handle date *after* the year 1999 you'll find that, the 1st of february 2001 is written in the header as: 64h 02h 01h.
This means that the valid range for the year in the "last updated at" field in the dbf header is year 1900 - 2155 (value 00h to FFh + base year 1900).
All other fields containing dates has the format YYYYMMDD, which can handle all valid dates (so far :-)
Conclusion: Unless you care about data handling *after* the year 2155, the Xbase file formate should not impose any problems.