There is no fast, cheap SHA256 coin with good difficulty adjustment. SHA256 miners have little practical choice of hashpower destination, and if they do mine blocks they're being paid in a currency with 10 minute block times.
We believe we can offer an excellent SHA256 coin for general usage. We love Litecoin, and wanted to give something to the brave hodler community. With everyone else too busy forking Bitcoin, we decided that the Litecoin blockchain was a perfect means of intial distribution for our coin.
Compared to Litecoin: Litecoin Cash has lower transaction fees, better difficulty adjustment, and is mined with SHA256.
Compared to Bitcoin: LCC is much faster and cheaper, and has far more bandwidth and better difficulty retargeting.
Compared to Bitcoin Cash: Litecoin Cash supports Segwit, and has much faster block times.