Auto Context
Auto Context is a Firefox Extension.
You can download it from the Firefox Add-Ons site.
Normally, to bring up the context menu after selecting text, you would right-click on the selected text.
This extension automates the process. After selecting text, the context menu automatically appears:

There are several ways to turn of auto context. First, you’ll notice the following icon in your status bar:

Left-click on the icon to turn auto context off:

To turn auto context back on, just left-click on the icon again.
There is also a toolbar button that performs the same on/off function. To find the button, go to View > Toolbars > Customize. You can then drag the button onto your toolbar:

Once again, left-click on the toolbar button to turn auto context on/off.
There are lots of preferences that you can play around with as well. Below are screenshots of the Options Window:





















