After more troubleshooting I have this mostly
working in both browsers.
I changed the dynamic event to use table instead of tbody and attach to the class ".k-edit-cell" instead of td.
+ @ViewBag.CycleCountID +
The save then was using the last value and not the current inputted value, so I read somewhere to wrap that with a setTimeout.
grid = $(
Now it works in both IE8 and Firefox.
The part not working is multiple tabs, if no changes are made. My assumption is since no data has changed, nothing needs to be saved, and the grid doesn't need to be refreshed.
Thanks for getting me mostly there.