Just out of curiosity, I looked up UConn's games through the first 15 games dating back to the 2003-04 season (UConn's game notes in its online archives either don't go back further than that or don't include season stats in the notes).
What I found was pretty interesting. UConn currently has 328 assists in its first 14 games this season. The Huskies had 329 through 15 games during the 2012-13 season, 336 in 2008-09 and 342 in 2007-08. I would expect the Huskies to top that mark by the time today's game at Houston is over.