Not RAF, but some other air force...
A guy over confident on the tractor, fast moves with style, but it went wrong one day when he missed the brake, fast reversing in the hangar.
It bent the prop of a PC9, knocked it clean over the chocks & almost into the tail section of another aircraft.
I was a few yards away, but thankfully not part of the moving team. I can still remember as clear as day, my friend who was in charge at the time, turning to me with his hand on his forehead & saying to me "I think we have an incident"
I remember the 'Cracked eggshell" look of the front PC9 canopy after a student somehow managed to eject, then the instructor landing it safely, but that was not towing related.
Someone else ripped a landing gear off a Strikemaster, after towing it across a dug out hole temporarily covered with wood.
Be careful when towing.