Can Lizards Grow New Tails?

Yes, lizards often grow new tails. They may 'shed' their tail if they are captured (by the tail) or it is stuck between something. If captured by the tail, the lizard will wriggle until the tail actually breaks off and then it will escape from its predator. It usually acts as a way of confusing the captor, who will be left with only the tail. It behaves similarly if the tail is accidentally caught in something.
Some research suggests that the lizard cannot shed its tail at will, it can only do it if it is in a state of heightened fear.
The new tail generally grows very quickly, but the lizard is exceptionally vulnerable whilst the tails is still a short stump, because if it is captured again then it will be unable to escape from the danger. This may be why it cannot just shed its tail at will and this action has to be a last resort !

I had a marble gecko, and I was told lizards use their tails as a defensive mechanism. They try to have their tails "GRABBED" and then they Drop them, and escape. Their tails do in fact grow back.

I never had this happen, but was told by the Lizard Man, when I got "Snoop"