Not just the EOS-1D C
There have been a few mentions of a new Cinema EOS DSLR body being announced in 2013. It would take on a smaller form factor than the EOS-1D C and would not shoot 4K video.
It wasn't mentioned which DSLR it would be built around, but I think an APS-C Cinema EOS based around the upcoming EOS 7D replacement would be a good place to start.
The EOS-1D C has yet to reach the retail chain at the time of writing this, but it's said to be arriving “very soon”.
From a new source, so take this with a grain of salt.