There definalty is a mach tuck in a Lear 25, happens around .85-.86. I had a chance to watch this in person once, if they ever demate the wing of an old Lear. The factory (in this case the Tucson Service Center) has to recertify that all the mach warnings and aerodynamic characteristics are the same when the remate the wing with the body. So they take the plane out and test fly it to make sure the overspeed horn comes on at .78 and .82 (you have to listen to it for the whole test flight), then at .82 that the puller acts like it is supposed to. Then you turn off the stall warning (deactivating the puller) and continue up to .84 where you start to get aileron buzz. At around .85 the nose will drop down and you pull the throttles all the way back and recover just like you do in the sim. You've just been in a mack tuck, pretty lame if everything goes how it is supposed to.
The aerodynamic reasons for mach tuck have already been discussed. In real life the reason you learn about mach tuch is that it killed a few people back in the 60's. The old Lears are some of the few planes out there that can actually exceed Mmo in level flight. So what a few people did back in the 60's and not knowing anything about mach tuch is they took the Lear past Mmo until they hit mach tuck, most just lost altitude and recovered (other than an altitude deviation and a bruised ego, no harm done), but a few got the bright idea to pop out the speed brakes. This is what kills people, the mack tuck, will bring your nose down and increase speed, add speed brakes that in old Lears also have serious nose down tendency you're now going straight down.
I don't think there's been a recent case of someone getting killed because of mack tuck, though a Lear did disintgrate on a descent into El Paso a few years ago.