Ben Lynn has a great explanation of branching in git, of which the following is excerpted:
Applications such as Mozilla Firefox allow you to open multiple tabs and multiple windows. Switching tabs gives you different content in the same window. Git branching is like tabs for your working directory. Continuing this analogy, Git cloning is like opening a new window. Being able to do both easily makes for a better user experience.
On a higher level, several Linux window managers allow you to have multiple desktops, which means you can instantly view a different state of the desktop. This is similar to branching in Git, whereas Git cloning would be like attaching another monitor where you can open more windows.
Yet another example is the screen utility. This gem allows you to create, destroy and switch between multiple terminal sessions in the same terminal. Instead of opening new terminals (clone), you can use the same one if you run screen (branch). In fact, you can do a lot more with screen but that’s a topic for another text.