It took me much longer than it should have taken me to find this info.
Couldn't find it on PGA.com, ESPN.com or NBC.com.
So if you don't know what time or channel it's on, tough luck.
JK, it will be on ESPN from 9AM-11AM PDT and on NBC from 11AM through the end, I assume.
Here's the link where I found the info:
2008 US Open Playoff - 18 Holes Woods vs. Mediate - Monday June 16 12 PM ET | HD Sports Guide