This is the tactic the television show of the same name used, which consisted mostly of cutting to get *every* line of dialogue on screen. It creates a very simplistic and shallow effect on the audience\'s perception of the emotion in the conversation.
Cutting before or awhile after someone finishes talking allows for more depth, since it can convey reactions and set up particular rhythms more effectively. The idea is to try to reflect the attention shifts that would happen were the audience watching the conversation in real life.