I haven't seen a better suggestion than Sync for a block chain 2.0 network. We can use either Sync or BitSync.

I am willing to give up Bits and retain Yoobit or Coolbit (and the plural forms). This seems to simplify and Yoobits are more descriptive than bits. Coolbit is less brandable and seems to imply limitation or non-inclusivity, "tell me about only the cool bits". Note however I did register the domain bits.cool which is nice looking succinct domain. Also I don't see any reason to prefer Yoonit over Yoobit, because users don't think of money as a unit. The Yoo is more meaningful as alternative spelling of You. People may mispell Youbit, so we will need domains for both spellings.

But I also think we need two currency units, because we need to give the market the choice of debasement they prefer. So what to name the other currency unit? No one has expressed support for cha-ching. Why? Does the community like Chan (ch'an)?