How have Churches interpreted handing people over to Satan?

In Paul's letter to Timothy, Paul mentions that Alexander and Hymenaeus were handed over to Satan to 'be taught not to blaspheme'. What is an overview on how churches have interpreted handing people over to Satan? **1 Timothy 1:18-20:** > 18 Timothy, my son, I am giving you this command in keeping with the prophecies once made about you, so that by recalling them you may fight the battle well, 19 holding on to faith and a good conscience, which some have rejected and so have suffered shipwreck with regard to the faith. 20 Among them are Hymenaeus and Alexander, whom I have handed over to Satan to be taught not to blaspheme.