What would cause an error handler to work only once

I have an error handler: On Error GoTo Outtahere
At the end of the routine, the OuttaHere section reads:

OuttaHere:
If Err.Number <> 0 Then
    If Err.Number = 3061 Then
        Debug.Print "   Failed to get " & strFileName & " data"
        Err.Clear
        GoTo NextFile     'most likely, the spreadsheet lacks the
lowUtilizationANDMemory field
    Else
        MsgBox "Error # " & Err.Number & ", " & Err.Description & ",
occurred.
The function 'GetLowUtilServers' will abort.", _
                vbCritical + vbOKOnly, "Failed To Record Dashboard LowUtil
Data"
        Err.Clear
    End If
End If

The error 3061 happens when a field called in a query doesn't exist in the
spreadsheet. This is expected behavior. I'm looping through a directory
full
of spreadsheets. I'd like to resume the loop at the NextFile section:

NextFile:
        strFileName = Dir
    Loop
End If

-- 
Bill Reed

"If you can't laugh at yourself, laugh at somebody else"

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