According the NCAA manual, Section 11 , Art. 6, b.1 ... the shot clock is to be reset after a single personal foul.
(It re-starts without a reset after double fouls or technicals where the team who had control maintains possession of the ball.)
They do reset the shot clock to 15 seconds if someone kicks a ball with less than 15 on the shot clock. (But no one kicks a ball in HD -- just like no one charges without making a basket!)
This question spurred me to discover you can download a free pdf of the rulebook here:
http://www.ncaapublications.com/p-3941-2009-2011-mens-womens-basketball-rules-2-year-publicaton.aspx