What to do if you get this error when importing data:
* Starting profile execution, please wait…
* Warning: Please do close window during importing/exporting data
* Starting Mage_Dataflow_Model_Convert_Parser_Csv :: parse
* SQLSTATE[HY000]: General error: 1114 The table ‘dataflow_batch_import’ is full
* Finished profile execution.
... is to check your disk space. The temptation is to dump the dataflow_batch_import table but that will not fix it, tidying disk space will.
(Posted for the next person to hit this problem.)