There's no new programming on the CW schedule until Tuesday, January 18 (two hours of "Life Unexpected" -- the only non-repeat on CW's schedule all week, in fact), so hopefully things will be straightened out by then.
Here's the official statement from TWC:
Negotiations are ongoing with Sinclair, and we’re still working hard to reach an agreement. We have agreed to extend negotiations through 11:59 pm on Saturday, January 15th. We are still hoping to avoid a broadcaster blackout, but even if Sinclair pulls the plug on Saturday night, Time Warner Cable will continue to provide all available Big 4 network programming to its customers. There is no need for customers to switch, they’ll still have access to all of their favorite network programming.