Based on Coinbase's blog, they will not be supporting a hard fork or anything other than BTC. This would mean that they would not support BCC or any other such coin.
This information is based upon their blog which I have included as a source:
https://blog.coinbase.com/what-is-a-bitcoin-fork-cba07fe73ef1
The views expressed are my own opinions based upon my perspectives and research...It's not a basis for investment advice.
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