Windows 10 and NVIDIA GeForce GTX 970M
Broken: (2.79b) fbdc9f9d68b
(could not figure out which build was for build-comparison testing, as they aren't well labeled for an outside user, apologies)
Unable to test on another computer.
Disabled my non-default addons, and problem still occurred.
N->Transform->Dimensions only multiplies scale.
I have a model that was imported (FBX) for parts (broke shape keys was replacing with backup) and when I tried to scale the dimensions under the transform tab. If I move one of the Dimensions meters, (say X) then the other two (Y and Z) will start multiplying their scale. I ended up with a model that was dimensions ~(200 200 0.04) after dragging the Z scale to the LEFT.
If you scale the skeleton, there is no problem. If you scale the Mesh, it goes haywire.
Regular cubes and other basic shapes do not encounter this problem. (also may be responsible for Shapekeys going haywire as well, but unable to isolate that other problem's trigger so far)
Exact steps for others to reproduce the error
Open the Object Mode's N menu and attempt to Scale the object Mesh by selecting the Mesh and changing values in the Dimensions option.
Downscaled file with the same problem present.