Baby isn't the right word for the CBX I know and love. Got a shock when I read it was being implemented into the next wallet. Sounds almost like a joke.
Centi is ok.
Afraid I agree with lab rat & Killiz here, 'baby' has no place in a profecinal investment comodity. Also the word baby has different conitations in difrent languages for example baby in Chinese 婴儿 can mean baby, infant or infancy - not the sort of message we want to be associated with CBX.
Stick to the Latin derived units of measurment
I did not read it would be in the wallet. In that case I would vote not to use another name. Simple 0.01 CBX is just that, 0.01 CBX. Centi Bullion does not even come close to Crypto Bullion, it sounds like a different coin. (There are Cents and Bullions out there). There are thousands of names already. Also, I would never use it to request for 0.50 centi bullions, the price is too low to transact so it doesn't make much sense. Just my opinion, if you guys want it then go for it.
edit: Now that I think of it more, if you want it, I think best would be to stay close to what is already used for Bitcoin.
1 BTC = 1,000 mBTC (millibitcoin)
1 BTC = 1,000,000 μBTC (microbitcoin)
1 BTC = 100,000,000 Satoshis
1 mBTC = 100,000 Satoshis
1 μBTC (microbitcoin) = 100 Satoshis
Then for CBX you could use, CryptoBullion Cents with cCBX, milliCryptoBullion with μCBX.