Various sources give slightly different times for “The Little Ice Age,” but a good estimate is “The Little Ice Age spanned from about 1550 to about 1850” –– which would make it mid-16th Century to mid-18th Century. In the middle was a period of seriously low solar activity, known as the Maunder Minimum (1645-1715). [During this time, the Thames River sometimes froze over. Due to substantially decreased solar activity over the past 15 years, many climate scientists today fear that Earth might be approaching another Maunder Minimum.]
I agree that the beginning and ending dates of the Little Ice Age are a bit fuzzy (e.g. one could say “it spanned from ~1570 to ~1820”). However, Professor Lindzen’s statement “that the Little Ice Age ended about 200 years ago” seems reasonable.
The most important take-home messages from Lindzen’s answers are that:  “the vast majority of the population is scientifically illiterate”, and one could extrapolate to say that “probably at least 99% of all scientists are illiterate with regard to climate science”; and  “Weather” reflects the extreme temperatures we see from day to month to year –– whereas “Climate” is measured in three 30-year segments per century and embodies “centuries of warming or cooling periods.” The graph below plots global-temperature estimates from the last Glacial Period (~11,000 years ago) to the present. One can see where Professor Lindzen chose an “about 1.0 °C rise in temperature since the Little Ice Age.”