Yes the eye will follow you around like a creepy painting; this was sparked by a dragon paper craft I saw in which the head of the dragon would appear to follow you no matter how you moved it would follow. I have replicated that with my slime monsters eye and I will be showing you how I did it. In order to do this included the blank model and the finished model so you can create you own monster with or without the follow eye. Please leave feed back and enjoy. I also made a video to show the following eye in action.
Also please comment if you have questions.
Step 1: Designing The Monster
I had made a blank model that i have been using to create little paper craft dolls for a little while so i thought it would be okay for me to use it. I drew the tentacles with with a cyan color then used the pen tool to make the line art as you can see i did three and just made a mirrored 3 for both sides. you don't have to use the tentacles you can create arms for this your self by sketching then using the pen tool.