Mine split about 10 days ago -- pretty surprising to see two BT's come out from behind a large piece of LR. They've both taken up typical residence and are eating well. They're very fluffy and look happy.
The percula is enjoying himself thoroughly.
I've read two streams on this BB -- one says splitting was good, that conditions are good and the anemone is generally happy. The other says that there must have been a nidus for the split -- an injury, some stressor or other issue. If all levels are normal in the tank and everything else looks good, with the anemone behaving normally, I would doubt a stressor is at hand. I've got shrimp larvae and snail eggs everywhere with a good amphi/cope load. It seems that if there were an environmental, the polyps or the other inverts would not be doing as well as they are.
I'm taking it as a good sign, as long as the two continue to do well.
Have fun,
Jaret