Maybe:
Sub Steve2014()
Dim CurFile As String, DirLoc As String
Dim Dest As Worksheet
DirLoc = ThisWorkbook.Path & "\STEVETEST\" 'location of files
CurFile = Dir(DirLoc & "*.xls")
Application.ScreenUpdating = False
Application.EnableEvents = False
Set Dest = Sheets("Summary")
Do While CurFile <> vbNullString
Dim OrigWb As Workbook
Set OrigWb = Workbooks.Open(Filename:=DirLoc & CurFile, ReadOnly:=True)
CurFile = Left(Left(CurFile, Len(CurFile) - 5), 29)
OrigWb.Sheets("TimeEntry").UsedRange.Copy Dest.Range("A" & Rows.Count).End(3)(2)
OrigWb.Close SaveChanges:=False
CurFile = Dir
Loop
Application.ScreenUpdating = True
Application.EnableEvents = True
Set Dest = Nothing
End Sub
Note: In this case the Activeworkbook with the Summary sheet cannot be in the same folder it will have to be saved to the folder afterwards.
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