We saw several elephants in Kenya, who were either lumbering slowly (even more slowly than lumbering suggests) or chewing while standing still. One overcast afternoon on the Mara we saw came up on an adult and (I'll presume) her offspring. A precarious situation, to be sure, but they kept on tearing the leaves off of the trees and chewing.
Not a very exciting anecdote (though we could have been charged at), but just a couple of days later we had finished our drinks at a lodge as the sun was about to set and went to sit on a short cliff that overlooked a vast expanse of parkland. A string of elephants in serial walked (lumbered!) in from the left to a pool of water in front of us. The elephants, which looked so small, stopped briefly to drink, then walked on until we couldn't see them anymore.