If you need DDMMYYYY, you'll have to do some string manipulation. Here you go:
Option Explicit
'Declare variables
Dim sDate
Dim sUserName
Dim objFSO, wshShell
Dim sSourceFile
Dim sTargetPath
Dim sTargetFileName
'Initialize variabless
sSourceFile = "C:\ExamplePath\example.txt"
'Remove slashes from date
sDate = Replace(Date(), "/", "")
'Get current user
Set wshShell = CreateObject("Wscript.Shell")
sUserName = wshShell.ExpandEnvironmentStrings("%USERNAME%")
'Set target file name and path
sTargetFileName = sUserName & "_" & sDate & ".txt"
sTargetPath = "\\server\share\" & sTargetFileName
'Copy file and rename to network location
Set objFSO = CreateObject("Scripting.FileSystemObject")
objFSO.CopyFile sSourceFile, sTargetPath, True
<message edited by robwm on Wednesday, November 23, 2011 5:17 AM>