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It can be useful to rotate an OrderedDict (for example when managing a circular playlist). I haven't found any efficient way to do so from user code, without poking at the internals.
Actually, I envision three methods:
 OrderedDict.rotate(self, n):
 rotate n steps to the right (similarly to deque.rotate())
 OrderedDict.rotate_at(self, key):
 rotate so that the given key ends up in first position
 OrderedDict.rotate_after(self, key):
 rotate so that the given key ends up in last position
(rotate_at, rotate_after could be merged in a single method with a "last" argument, if deemed more elegant)
Note: another solution to the playlist problem would be to have insert_after() and insert_before() methods.