Screen Hawking

When a co-worker, or nosy individual, walks behind your computer/workstation, staring at your screen as they pass, to try and figure out what you're doing.

"I was working on my month end close, and Socially Akward Penguin kept walking behind me, screen hawking and mouth breathing"

Screen Hawk

When you're playing a splitscreen game and look on your friend's screen to find him in the game.

Guy 1: "Hah, saw you go into that room."

Guy 2: "Stop screen hawking me!"