When the word 'neighbor' is used as a reservation for the second hit of a joint, another person in the circle can optionally call 'neighbor after neighbor', which garuntees him or her the third hit. Some circles even allow 'neighbor after neighbor after neighbor'. This practice can result in very impractical, convoluted rotations which are usually forgotten about halfway through the joint.
Many circles do not honor 'neighbor after neighbor' and it usually has to be argued for. But, if smoking in a large group of people its the best way to get a quicker turn if you forget to call neighbor.
Some smokers opt out of the whole 'neighbor' system and instead adhere fanatically to Bob Marley's advice 'Pass the Dutchie to the Left Hand Side". These people are soulless robots with no imagination.