I've actually requested a 'Shakey Cam' effect somewhere in these forums, so you aren't alone in wanting it!
There are some tricks you can use that might work for you, though I've only had limited success so far:
Try attaching the camera to an avatar's head, and apply some animations to that avatar (talking/presenting animations, etc). The camera will likely move in weird and wonderful ways. Be sure to uncheck the auto-level option to add some fun angles!
Another idea is to play the scene and manually "bump" (move/rotate) the camera at the same time. Better yet, press the "n" key and wiggle the mouse about whilst in that mode (esc to exit).
Neither of those are perfect, but better than nothing (and in my opinion, better that fiddling with the timeline, though that certainly can work and can help fine tune the second method.)
Best of luck, and feel free to ask RL for a built-in effect. The more voices asking, the better chance they'll oblige us!
:hehe:

https://marketplace.reallusion.com/iclone/author/biggstrek