I propose the following units and currency symbols.
Ƀ | Bits |
ҍ | millibits |
ḅ | microbits |
ʘ | nanobits |
I like the simplicity of that choice, maybe more than clickz/clix. The only negative I can see is Bits being too closely related to Bitcoin.
It sounds like you are trying to consider both the potential positive and negative impacts of this similarity.