I discovered something myself recently. For those people who don't use mouse free look, they can strafe-fly to escape tight situations. It saves plasma, goes faster than running and gives you a breather to plan your next move.
Also, when dropping from tall heights, the Cyborg does a "CLANK!" sound which can be heard by opponents. If for some reason you plan on camping with the Cyborg, but are afraid you'll be heard, use the jet pack when dropping or for moving around. It will make for a soft landing, preventing enemies that haven't seen you from knowing you're nearby. Of course, the jet pack's sound can be heard, but it's much less loud than slamming into the ground or having your location revealed because of the footsteps. This can be also used to lure enemies who see your jet pack smoke into Ghostbuster traps.