Solution.

WRONG way - PRODUCES DOUBLE CALLBACK
<CuteWebUI:Uploader runat="server" ID="Uploader1" OnFileUploaded="Uploader_FileUploaded">
  <ValidateOption MaxSizeKB="10240" />
</CuteWebUI:Uploader>



CORRECT way - ELMINATES DOUBLE CALLBACK
<CuteWebUI:Uploader runat="server" ID="Uploader1" >
  <ValidateOption MaxSizeKB="10240" />
</CuteWebUI:Uploader>


Apprently putting in the OnFileUploaded="Uploader_FileUploaded"
into the vb.Net produces the second callback.  Once because the
Handles Uploader1.FileUploaded is naturally called by VB and
the second time because the HTML itself contains
OnFileUploaded="Uploader_FileUploaded".

CODE-BEHIND
-----------
Protected Sub Uploader_FileUploaded(ByVal sender As Object,
                                    ByVal args As CuteWebUI.UploaderEventArgs) _
                                    Handles Uploader1.FileUploaded << repetitive
                                    ==============================

                                    
It was kind of a "duh" once I saw the solution.