We wanted to have an alien drone scouring the map, but it would look out of place and static without any animations. The rigging was done for me and then I was able to start animating it.

Before I started I researched jellyfish and octopus tentacle movements to get a feel of what I needed to successfully recreate natural tentacle movement.

I animated the parts of each of the tentacles from the outermost part first (eg. the tip first, then the next joint, then the innermost joint)
This is the collective graph data for each joint:

I made sure every graph line started and ended on the exact same value so that I would get a perfect loop, and it was successful.
Final result:

I think to make this better I would have to learn how to rig it myself and add more joints so the tentacles would flow more naturally, as you can see how it is with the mouth.