I have been using dutch clips for a long time and still have and use an original set. All this time I have been setting them up as follows:
Arms up - looks like a 'U'
Wrap strap around the tree and secure the working end of the strap through the clip such that the strap leaves the clip at nearly 180 deg. back towards the hammock. The clip is at the side of the tree 90 deg. away from the lay of the hammock. Pulling the strap, therefore, tensions the strap and prevents the strap from rotating about the tree.
Am I a sinner?
By the way - the new ti clips are so pretty, I wish I could figure out a way to make mine a ti tie clip!!