How do I lane safely on Twisted Treeline?

With the remade Twisted Treeline map, laning can be very tricky as they are very vulnerable to ganks, especially due to there being no wards allowed on the map any more.

Are there any techniques I can use to lane as safely as possible, without falling behind my opponent's experience and gold?

Communication with teammates is key.

If your opponent disappears with 10% health, let your teammates know he (probably) recalled. If your opponent disappears with 100% health, warn your teammates of the possible gank.

Of course, depending on your champ, you might have additional resources available to you. Teemo, for example, can be more certain than most of his safety in lane.