'Off' and 'on' are opposites. So why do more and more people see to insist on 'signing off on' things?
When you complete a form (possibly before someone signs off on it), you're adding details, so you're filling it in. You're not filling it out.
And when that form has been filled out and signed off on, surely someone would simply see it, rather than 'have sight of it'.
Just my three for today!