Besides the actual mystery of Clara's identity - so far I think we have two open questions (which we can add to as the episodes progress):
1) Who was the woman in the Newsagents who gave the Doctor's number to Clara?
2) Does the Great Intelligence have a master-plan and if so what is it?
1) Who was the woman in the Newsagents who gave the Doctor's number to Clara?
2) Does the Great Intelligence have a master-plan and if so what is it?