In Journey to the Centre of the TARDIS, Clara learnt the Doctor's name from the Time War Book - but thanks to the time reset she forgot it.
Then along came The Name of the Doctor, in which Clara starts remembering those un-happened events, including the Doctor's amazement at her multiple incarnations. It is therefore likely she might also have remembered knowing his name - yet, when threatened by the Great Intelligence, it was River who said the Doctor's name - probably since Clara was busy being afraid of dying...
Nonetheless, at this point Clara definitely knew the Doctor's name (be it re-remembered or heard by River), and even though she was probably quite shaken up by traveling in his time stream, some of her conversations with Twelve (though I'm afraid I currently fail at finding one) suggest she still knows quite a lot of those re-remembered things. So, finally my question:
Was it to convince the Galifreyans to grant the Doctor more regenerations instead of returning from their pocket universe? Or did she truly not remember his name?