Visitivity comes from the show 'How I Met Your Mother' said by Barney Stinson. It's a cross between two words, vision and creativity. It's used as a possession.
"I have visitivity."
"He has a lot of visitivity."
What your boss says you will get when you get a promotion. It could be good, but often is bad when your boss hangs you out to dry. It is often an explanation why a pay raise doesn't come with that promotion.
George, you will get a lot of visibility from the Senior Staff with this promotion! We'll give you a raise at the nextreview period!