The following is the Save Attachment code sample from Teach Yourself Outlook in 24 Hours.

Copy and paste the code from this page into your VBA project or download the text file and copy and paste it into your project file. 

Public Sub SaveAttachments()
Dim objOL As Outlook.Application
Dim objMsg As Outlook.MailItem 'Object
Dim objAttachments As Outlook.Attachments
Dim objSelection As Outlook.Selection
Dim i As Long
Dim lngCount As Long
Dim strFile As String
Dim strFolderpath As String
Dim strDeletedFiles As String

' Get the path to your My Documents folder
strFolderpath = CreateObject("WScript.Shell").SpecialFolders(16)

On Error Resume Next

' Instantiate an Outlook Application object.
Set objOL = CreateObject("Outlook.Application")
' Get the collection of selected objects.
Set objSelection = objOL.ActiveExplorer.Selection

' Set the Attachment folder.
strFolderpath = strFolderpath & "\OLAttachments\"

'MsgBox strFolderpath

' Check each selected item for attachments.
' If attachments exist, save them to the Temp
' folder and strip them from the item.
For Each objMsg In objSelection
' This code only strips attachments from mail items.
' If objMsg.class=olMail Then
' Get the Attachments collection of the item.
Set objAttachments = objMsg.Attachments
lngCount = objAttachments.Count

'MsgBox objAttachments.Count

If lngCount > 0 Then
' We need to use a count down loop for
' removing items from a collection. Otherwise,
' the loop counter gets confused and only every
' other item is removed.
For i = lngCount To 1 Step -1
' Save attachment before deleting from item.
' Get the file name.
strFile = objAttachments.Item(i).FileName
' Combine with the path to the Temp folder.
strFile = strFolderpath & strFile
' Save the attachment as a file.
objAttachments.Item(i).SaveAsFile strFile
' Delete the attachment.
objAttachments.Item(i).Delete
'write the save as path to a string to add to the message
'check for html and use html tags in link
If objMsg.BodyFormat <> olFormatHTML Then
strDeletedFiles = strDeletedFiles & vbCrLf & "<file://" & strFile & ">"
Else
strDeletedFiles = strDeletedFiles & "<br>" & "<a href='file://" & _
strFile & "'>" & strFile & "</a>"
End If

'MsgBox strDeletedFiles

Next i
' End If
' Adds the filename string to the message body and save it
' Check for HTML body

If objMsg.BodyFormat <> olFormatHTML Then
objMsg.Body = objMsg.Body & vbCrLf & _
"The file(s) were saved to " & strDeletedFiles
Else
objMsg.HTMLBody = objMsg.HTMLBody & "<p>" & _
"The file(s) were saved to " & strDeletedFiles
End If

objMsg.Save

End If
Next

ExitSub:
Set objAttachments = Nothing
Set objMsg = Nothing
Set objSelection = Nothing
Set objOL = Nothing
End Sub