Locked object movement?

How can I lock the path/direction of an object’s movement, such as in the same way I can lock dragging with the shift key with the general selection tool?

There are a couple of ways to do it depending on how you work. The simplest way is to enter the movement value in the offset field of the axis along whose movement you wish to implement the value of (done in the properties window after selecting the frame of the element at the place where you wish this movement to be implemented).