The heat that builds up in mine is in the backend clip ring. The actual dial I don't believe I've felt get warmI guess it could be the battery, I don't know. But if it is, I would expect it to behave consistently - that is, always making the backend hot. If the backend isn't consistent (taking into account the varying backend heat versus battery drain), then maybe it begs more questions. ...Which is one of the things this forum has been great for, with its many detailed threads and a developing Fixes Resource.
Since I haven't experienced a hot "back end", to be clear, we're talking about the button-end, but is it the temp dial that seems to sink the most heat? The clip becomes too hot to handle?