Some have asked the question before and there are various responses, however none directly answered the question and so here it is again. Appreciate any pointer.
Use sudo apt-get install eclipse. Make sure to remove openjdk.
sudo apt-get remove openjdk*
DON'T FORGET THE ASTERISK IN THE COMMAND!
Follow that article to install oracle java on raspbian. Done.
I have used Eclipse on the Raspberry PI models 2 and 3 and found the performance to be quite good when doing Java development with pi4j when using Oracle's Java 8. It is a bit slow to load (15 seconds or so) and you will notice a slight delay the first time any new item (editor, builder, etc) is run (presumably class loading), but once up and running, it runs pretty smoothly. When debugging I/O device drivers etc, having it run native on the PI is great.
WARNING!!!!!!! CAUTIONARY note on running Eclipse native on the PI. If you use apt-get to install eclipse, it will also install Open JDK and set eclipse to use it. Open JDK is extremely slow when compared with Oracle's JDK so be sure to install oracle Java and use it.
Although it is a bit old I found an article of someone who wanted the same. You could do it with:
sudo apt-get update
sudo apt-get install eclipse
So it is possible but I'd recommend to just run Eclipse on your desktop device or laptop and just transfer the built files or source code to your Raspberry Pi.