That is part of the curvature aspect of time. Actually, someone at the same level as the clock will not see it running anything other than at 'normal' speed. it is someone deeper in the gravity well that will observe the higher clock as ticking faster.<quoted text>
A watch placed higher will be running faster? How does that happen?
A *very* weak analogy is the latitude lines on the sphere. As you move north from the equator, the lines have smaller length, even though there is still 360 degrees.
That is called 'proper time' and is specific to a particular observer. it is vaguely related to the length of the path in four dimensions. Different paths have different lengths, and so different amount of proper time transpired. The analogy isn't perfect: straight lines in 4D spacetime *maximize* the proper time, while they *minimize* the length.What if time flows UNevenly?