Liaoning's Provincial Party Committee Secretary has just said publicly that "after the commissioning of the Liaoning, China's second home-constructed aircraft carrier will start construction at Dalian, with an estimated construction cycle of 6 years, together with 2 other 052D guided-missile destroyers. "
First, this MAY or MAY NOT be reliable. But I believe it should be as it corresponds to what we have known so far (North and South each will build a carrier, with the North start the construction of 052Ds). Although the number of 052Ds does differ from what we have known (2 vs 4).
Second, in the original report what he said was "国产" which literally translates into "country-made" or "country-produced" or "country-manufactured". So, by "second" he could mean that Liaoning is the first OR he could mean that the carrier at Shanghai has already started construction (which may be those structures we have seen in photos).
These are just some of the possible interpretations of his words and some of my own speculations. Do take it with a grain of salt.
For those who are not familiar with Chinese system, a provincial party committee secretary (also known as "party-chief") is the highest level party official in a province. Although the provincial governor is the head of government, the "party-chief" has actually higher rank and higher power than the governor. Also, many provincial level or municipal cities' party chiefs, especially young and capable ones from important places such as Shanghai, will eventually rise to the most powerful elite Politburo Standing Committee, or even become premier or Party General Secretary, who's also the President, and Chairman of the Central Military Committee.
Actually, it has been reported numerous times that the Chinese have started a carrier at DL. The real question is whether the "second" refers to the indigenous carrier line or the Russian+Chinese general carrier line.