My experience is that inductees hold up their hands and move their lips. Obama did that. In any case, the principle behind fixed terms that they expire, that the office is vacated at that point and that the duly elected person holds the office from that point in time unless he chooses to resign.
I guess you onlly respect *parts* of the Constitution then. The Constitution commands that the oath be taken before entering into the office.
But the inductees also sign the oath, do they not? I know officers do, since I did, and I checked to see if they still do. Do we expect less of the President than of a new shavetail/butter bar?