If memory serves, Donald Qualls was talking about it increasing speed in some of his tests. I believe that he was specifically using it with AGFA Copex, though.
I don't believe it was deliberate, but check for his posts on it to find out.
From my (also limited) experience, it doesn't seem like this is going to be great for pushing films. I don't really have any chemical or photographic explaination, it just seems this way. If anything, you'd have issues keeping the temperature in the right place. After the ~15 minutes needed for some films, its already cooled down significantly; for pushes, it'll be even colder and work slower.
Try it (maybe with a water bath to keep it around its original temperature), and see what happens.
Tri-X is a good choice for this experiment, as it handles a two or three stop push very well in certain developers.