Maybe you mean something like this ...

Option Compare Database
Option Explicit

Private Sub SomeProcContainingCommonCode()

   MsgBox "Common code goes here"

End Sub

Private Sub Form_Close()

   SomeProcContainingCommonCode

End Sub

Private Sub Form_Open(Cancel As Integer)

   SomeProcContainingCommonCode

End Sub

What are you trying to do with the Event Procedure? Remember that you can
not only have Event Procedures in forms, you can also have them individual
controls in the form.
You can also have Subs and Functions in Modules.
I don't know what you mean 'If I change the name' - remember, none of us can
see what you are doing and I for one, don't have a good enough memory or the
time or inclination to hunt through all your previous posts to see what you
wanted to do there. You say 'is there some way to save a procedure and
rename it'.  Much more clarity is needed.

Evi