DaTario,
You probably own one or more entropy-controlled clock.
Just look at your wrist !
A mechanical wrist watch is the best example of an entropy-controlled clock.
Feynam explained clearly why the dissipation of mechanical energy (into heat) is a absolute prerequisite for the proper functioning of a simple wrist watch. The ratchet wheel controls the time regularity of your mechanical wrist watch, one entropy tick at a time! Without dissipation of mechanical energy into work, the ratchet would simply not work!
If you own and electronic wrist watch, it is not so much different as you simply need to consider the equivalent electronic ratchet gate. Tell me more about that if you are an electronic expert.
Now the bigger question is about radioactive-decay clocks: are they entropy-controlled?
I like very much to answer YES to this question, but I am not sure, of course.
And similarly, I would answer YES for any clock built on any kind of technology.
This brings us to the even bigger question of the different arrows of time.
Have fun with "The Physical Basis of The Direction of Time" by Zeh, if you want to know more about it.
In this book you will read about different arrows of time and how they are related.
I have not yet finished reading this book.
However, I think there is really room to accept that all directions of time share the same ultimate cause.
Therefore, I would answer your question by saying that probably all clocks are entropy-controlled, entropy being a generic name for the same ultimate arrow of time.
Have fun, and fun.
Michel