This is just my 2p pence worth...
I would read carefully the documentation available here and especially look for any disclaimers.
I found this on in the Warranty Card :
"Galileo is not warranted for use in any aerospace, medical, military, nuclear or any other mission- or safety-critical application."
I'd say that Galileo is marketed as a development platform, from where you should take the design, refine it for your needs and develop your own solution with all the appropriate certifications and testing as may be required for your application.
If you are installing or selling the device to customers outside your own organisation then you will definitely require certification for EMI and Safety.
Finally the Safety and regulation guide that comes with galileo (available here) doesn't mention that it has been tested or certified in any way.
So, all of that sounds a bit put-off-ish doesn't it?
At the end of the day you will have to calculate your own exposure to the risk of being sued if anything goes wrong with one of your devices, and damages something (or someone) else.
And finally, I have several Galileo's running in my own controller environment and they run very well indeed, and have never once had any unexplained crash or problem. I've had them up and running for weeks at a time, and I've given them unplanned power outages and so on.
One thing to consider would be whether the SD card will start to get filled up. Do some tests and see if the system and user logs are slowly consuming space on the card, and if so, calculate how long it will be before that becomes an issue. You don't want to be called out to an installation just because the SD card filled up with logs.
And consider setting a secure root password, but leaving SSH enabled to give you a chance at remote management.