I do not, but I can give you some information about how ChaiScript operates.
First off, ChaiScript uses about 5MB to launch, which might already be too much for your platform.
After that, ChaiScript is not garbage collected. It's memory model is stack based. When a variable goes out of scope it is predictably destroyed at that moment.
So, you are pretty much guaranteed that memory is not going to grow beyond your actual runtime usage.
I know that some users have proved ChaiScript on iOS, so I would expect it to work for your usage also. The key will be the same as for any other application with ChaiScript - you're going to get the best performance (both memory and CPU) in C++. And it's crazy easy to expose your C++ functions to ChaiScript - so do all of your heavy lifting where you need predictable performance in C++.