Method 1: Go to the Scenario Analysis and select any company. Down in the bottom left hand corner you will see a date. This is the date of the last price downoad.
Method 2: Open Conscious Investor and select Search Data. Look for the fourth columntitled "UpdateDate" - this gives the date of the last download of prices.
Bear in mind, that Conscious Investor does not show daily fluctuations in price, the Price shown is the end of day price from the previous day. Thus, the "UpdateDate" will usually be the date of the previous day.