Don't know what Claire supposedly lied about to her parents, as the only thing she told them was not wanting to go back to Hong Kong with them, as she wanted to make amends with those she hurt.
The thing is.........the way Days filmed the shows, they were expecting to be shut down for 2 weeks for the Olympics. so had arranged this "cliffhanger", which I believe is today, (maybe tomorrow) and we were all supposed to be eagerly awaiting it being resolved 2 weeks later. Well, instead, Olympics are cancelled, so whatever is supposed to leave us hanging, we fortunately will learn about the next day.