You are right. But this will allow the SC Legislature to make Clyburn's 6th district more compact when then create a new 7th. If the 6th district line moves about 1/2 mile south I will be in 5th district which is about to be represented by Mick Mulvaney who just unseated John Spratt.
If the GOP controlled SC Legislature is in a humorous mood they might make sure that the 6th district no longer includes Clyburn's house. We'll get a Dem but it may not be him. Maybe Alvin Greene will run for Congress.
SC Republicans could place Clyburn’s home in whatever district they wish, and if there’s one black-majority CD (and there must be at least one), tha’t’s where Clyburn will run (and win). Representatives do not have to reside in the district they represent, merely in the state they represent (see Article I, section 2, clause 2 of the U.S. Constitution).
The interesting question will be, assuming that SC gains a seat (which I think it will), will SC Republicans draw a single black-majority district and keep the SC-01, SC-02 and SC-05 as potentially competitive, or will it draw two black-majority districts (taking blacks from the SW part of Wilson’s SC-02, additional blacks from Charleston and blacks from Mulvaney’s SC-05) and make the other 5 CDs absolutely safe for Republicans? Remember, Henry Brown nearly lost the SC-01 in 2008 partly due to high black turnout, Wilson’s SC-02 is like 30% black and was uncomfortably close in 2008, and the SC-05 is over 30% black and was held by the Democrats for over a century until Mulvaney won. Districts are drawn for an entire decade, so saying that “the SC-01 is safe for Tim Scott” or “Joe Wilson won’t lose next time” is not good enough.