Like the other guys said:
Could be a turbocharger related issue. The turbo`s bearing is oil-cooled. There should be a line going to the turbo with a fitting on it, should fall right between the two sides of the turbo. If the turbo lost it`s seals or bearing went out, oil could be getting pumped directly in to the compressor side of the turbo charger. When this happens, the engine oil becomes somewhat atomized in the air stream. Oil mixed with charged air will enter the intake side of the engine, and get compressed. If there is sufficient quantities of oil in the air, the engine could "run-away", meaning it will be running on the air/oil/diesel mixture in the combustion chamber. Its hard to stop them once this happens, usually have to clog up the intake side of the turbo with something to "snuff" the combustion process of oxygen. Turbo bearing failures could be the result of a bad build at the factory, or damage to the turbo. If your tractor was hauled any significant distance on a trailer over the road, if it was facing forward, its quite possible that air could have been forced down the exhaust pipe at high velocity, causing your turbocharger to spin in reverse (while at the same time not being lubricated from engine oil because the engine is not running.) This un-lubed operation can build high temp. inside the bearing and eventually or immediately (depending on several factors) cause premature turbo failure. Usually it`s good practice to tape over the exhaust pipe if you are hauling a turbocharged piece of equipment over the road, in a manner that could force air into the exhaust.
Having said all of that, it would seem more likely however, that your main issue is pressure in the crank case. This would cause the dipstick to be pushed out, along with oil. As everyone else said, usually bad / cracked /broken piston rings will allow pressure to bleed beyond the cylinder walls and enter the crankcase. After some run time, pressure would build inside to a high enough degree to cause the dipstick to pop out. Usually, you can see excess pressure being bypassed by either checking the crankcase breather (a.k.a. "slobber tube") or if you take the oil fill cap off during engine operation. If you have "blow by" your engine will "huff" like an old steam locomotive.
bowslam, good luck with the repairs....please keep us posted, I`m curious to see how it turns out. You have a very low hour machine, my bet would be some issue related to manufacturing error or transport error. My dealer brought our new 5075M home on a deck-over trailer, facing FORWARD, with no cover over the exhaust pipe. I didnt say anything, but I`ve got my fingers crossed hoping I do NOT have any premature turbocharger failure. The old addage is true..."an ounce of prevention is worth a pound of cure"
I hope everything works out for you man, hopefully Deere will stand behind it and get your machine back in service! Good luck and keep us in the loop!