The study was carried out by psychologists from the University of Arizona at Tuscon, Washington University St. Louis and the University of Texas at Austin. The essence of the story:

Sex differences in conversational behavior have long been a topic of public and scientific interest. The stereotype of female talkativeness is deeply engrained in Western folklore and often considered a scientific fact.
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In reality, no study has systematically recorded the natural conversations of large groups of people for extended periods of time. Consequently, there have not been the necessary data for reliably estimating differences in daily word usage among women and men.
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Over the past 8 years, we have developed a method for recording natural language using the electronically activated recorder (EAR). The EAR is a digital voice recorder that unobtrusively tracks people's real-world moment-to-moment interactions.
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The data suggest that women spoke on average 16,215 (SD = 7301) words and men 15,669 (SD = 8633) words over an assumed period of, on average, 17 waking hours. ... the difference does not meet conventional thresholds for statistical significance (P = 0.248, onesided test). Thus, the data fail to reveal a reliable sex difference in daily word use. Women and men both use on average about 16,000 words per day, with very large individual differences around this mean.
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the widespread and highly publicized stereotype about female talkativeness is unfounded.

So next time somebody propagates the lore, you will have some science to back up your denial :-)