Depends on the organisation. Lots can happen or not happen,
depending on how anyone wants to handle anything.
Lets say you are trying to say that a company has a employee who
emailed or use company phone or mobile phones to harrass, insult or
threaten someone. The company do have the right to dismiss the
wrongdoers and even sue the fella further for breaching ehtics,
employment contracts & so on.
Not including the suing done by the harrassed, insulted or
threatened someone.