On the server machine, go to Control Panel > Administrative Tools > Services. Stop WaspTimeServer.
Download WT7DateTimeInTimecardEdits.zip on the server machine and extract it.
Copy WaspTime.exe, WaspTimeServer.exe, and JobCostingCommon.dll to the program folder, C:\Program Files (x86)\Wasp Technologies\WaspTime by default, overwriting the original files there.
In the directory where you extracted the files, run UpdateDb.bat.
In the Services window, Start WaspTimeServer.
You will need to copy those three files to the program directory on any other client machines where you run the program, as well.
This will prevent the error from erasing any future timecard edits, but will not recover the existing edits that are already missing. You will need to re-enter those edits.