Thank you for your reply, John. What I'm finding is that any time ANY of the slides have an auto slide transition, then none of the custom animation effects on ANY slide can be "on Click"... or they can be, but they will be ignored. What I wanted to do was to have an object animate on and wait for a click, then animate off before the slide auto transitions to the next. The only work around possible, I found, was to just forget the idea of the object animating off, and just replace the click effect with a click transition which dissolves to the next slide. It will do, I suppose. Thanks again
PS-One other work around would be similar to what you suggested, where I do as I described above except that i start the next slide with the "animate off" part of the animation. I chose to just eliminate that part for the sake of neatness in the eyes of the client. I thought it might look kind of sloppy and amateurish to have objects repeated everywhere like that, if you know what I mean

But if it were my personal slide show, I would do it that way.