I will use partial reps, only part of the time. As another way to create an adaptive response. Never use them exclusively, or do I consciously try to do them because Mr. Olympia or whoever popularized them.
If I do ever use them, it's usually at the end of a set to finish out and get whatever I have left, out of the muscle. Similar to Platz, where he would just stand there and squeeze his legs or hold the DB's out to the side a few inches on laterals, because that was all he could muster at that point.