You can add the subject string to your macro that saves the document e.g.
Code:
Sub SaveForm()
Dim strPath As String
Dim strName As String
strPath = "C:\Path\" 'Where to save the document
On Error GoTo err_Handler
If ActiveDocument.FormFields("User_Name").Result = "" Or _
ActiveDocument.FormFields("Cell_Phone_Number").Result = "" Then
MsgBox "Complete name and cell number fields"
GoTo lbl_Exit
End If
strName = "GSS #390 for " & ActiveDocument.FormFields("User_Name").Result & Chr(32) & ActiveDocument.FormFields("Cell_Phone_Number").Result
strName = strName & ".docx"
ActiveDocument.SaveAs2 strPath & strName
lbl_Exit:
Exit Sub
err_Handler:
If Err.Number = 5941 Then
MsgBox "One or other of the form fields used to name the documnent is missing!"
Err.Clear
GoTo lbl_Exit
End If
End Sub