No individual row in an Access table should be greater than about 2k so I guess there's must be a large record lurking in your dBase IV source.
If it's critical that this data is imported into Access instead of simply being linked, I'd suggest that you:
1. Identify the table with the problem row(s).
2. Link it as "Table_A"
3. Import it's structure into Access as "Table_B".
Then, assuming the over-large data is in a text-type field...
4. Modify the structure of "Table_B", changing it's longer text fields to "Memo" fields.
5. Running an insert query to append "Table_A" into "Table_B".
If this fails, you'll need to try programatically inserting "Table_A" into "Table_B" on a row-by-row basis. This will allow you to identify the specific problems row(s) and decide what you want to do with it/them.