It sounds like the inverter was trying to reset itself after the power surge when starting the engine. If it does not do it anymore, I would think all is well. If it happens again, turn off the inverter using the switch on the inverter itself. That is done by removing the double hindges on the access door. I seem to recall, when I turn off, then on my 2007 inverter, it makes that tick tock sound once, maybe twice.
If you do not have small children, I suggest you consider removing the double hinges to the inverter's access panel and install a door latch like I did. There seems to be a need once in a while to turn off the inverter that way, and your condition could be one of those times. If we later have little grand kids traveling with us, I plan to install a child safety latch, like is commonly used at home.
