I think the Crick-it and Klickety-click are pretty much the same: both stick on the bow limb with pressure sensitive tape, work well, and can be easily removed if you don't like it anymore. Also, if you do like it but don't want to use it hunting, you can easily remove the working parts by undoing a screw and taking the line off your bowstring, but leaving the base plate stuck to your bow limb. You should pay attention to the diagram showing how to attach the line to the bowstring, rather than just tying a knot, since a knot tends to snarl the line and isn't easy to remove for hunting. You probably won't get the length of the line right the first time, and will want to fine tune it as you shoot. I use the key-chain that comes with the clicker to do that, but others don't like the key-chain and leave a little extra line until they get the length right. If you take the clicker off for hunting, and don't get the string back in exactly the same place on the bowstring, you will find that you will need to do some more fine tuning to get your draw length right again.
The biggest difference I've noticed is that one (I've forgotten which one) comes with a line that is like heavy grey or green dental floss, while the other comes with a thicker line that is like braided nylon - yellow in my case, although colors may change over time, I'm sure. The one with the line that looks like braided nylon, which I think is bowfishing line, seems to not snarl as much as the other, so I've put that kind on several of my other bows.
Another kind of clicker, which I've looked at but not used, attaches to the riser and clicks when the point of the arrow is drawn past it. It doesn't seem to be appropriate for a hunting bow, where we commonly cut our arrows so they extend an inch or more past the back of the bow at full draw.