There are two ways of looking in to it. The first is in terms of market cap. This one will be easy for Bitcoin Cash. Already their market cap is fluctuating between $8 billion and $10 billion, and they have the potential to overtake Ethereum, or even BTC itself.
Market caps hold
zero value. Especially in case of BCC, as this coin forked off with nearly 16.5 million circulating coins. One coin just need to sell at a price of 1.01BTC to take over Bitcoin's market cap. People for once should stop looking at market caps, and start looking at what really matters - the actual usage. Nothing can beat Bitcoin in this regard.
But the second part is difficult. Can the BCH gain as many users and followers that the BTC is having?
Definitely not. I have said it before, and I'll say it again - this coin purely thrives on the hype that they created. People get excited because they have the ability to liquidate something for BTC or fiat that they haven't bought at all, or didn't at all ask for. It just came out of the air. Once exchanges start to process deposits, this coin will lose its value, and after the dumpfest has taken place, this coin will also lose people's interest. BCC is just a get rich quick tool for those behind this garbage.