I had a senior resident one time who had a very complex classification system for scut. He divided it into "pure scut", that which has absolutely no educational benefit, and "educational scut", that which is a real pain, but that you do learn from it. It also changes by level of training. For example: dictating a discharge summary is pure scut for the senior resident, but for the clerk it can be an educational experience, and therefore become "educational scut". The more tasks you can shift from "pure" to "educational" (by making the clerk or intern do it), the more you are maximizing the educational returns of the service!
When it come right down to it though, all these things are necessary for patient care, so everyone should just do them without complaining.
Oh, and things like picking up the residents drycleaning is not scut, it's abuse, and nobody should have to do such things.