You can follow the updates on the Perpetual Check blog. The most recent update about V3 was on June 25th:
A New Chess.com is Coming Soon!
which said that the rollout of the beta was postponed until August.
However , there are other things happening. This was just released July 30th:
Hello everyone:
About 10 weeks ago, I received an e-mail from chess.com telling me the "exciting news" of a new look that was coming up very soon. I received pictures of new graphics that really looked cool. I believe they said it would all change in June. Well June came and June went, but nothing happened.
It is my opinion that the board colors are horrible while some of them are completely useless. The pieces style are average. although I happen to like "the club." The 3D wood is worthlesss so I don't use it.
Does anyone know when this change will take place?
Thanks,
Gentlewarrior (GW)