Here are several video clips that explain and show examples of the new freestyle and Greco Roman clinches that are part of this year's rules.
You will need to use the pause button to stop the video long enough to read the text portions of the clips.

These clips are large files and may require several minutes to download even over a broadband or high speed connection.

  
FREESTYLE CLINCH

Wrestlers must go in to a 30 second leg clinch anytime a period ends with a 0-0 score. The wrestler who clinches is determined by a coin toss. If the wrestler with the clinch fails to score in 30 seconds the other wrestler receives 1 point.
(This clip was revised on 4/18/06 to reflect an update to the GR clinch procedures.)

(1:20 minute duration)

GRECO ROMAN CLINCH PART 1

Each period of a Greco Roman match consists of 1 minute of wrestling in the standing position and two 30 second wrestling in a par terre position. Last point scored determines which wrestler takes the attacking position first. If the score is 0-0 then the referee flips a disk. This video clip show the correct mat markings and starting position.
(This clip was revised on 4/18/06 to reflect an update to the GR clinch procedures.)

(1:13 minute duration)

  
GRECO ROMAN CLINCH PART 2

Once wrestling starts on the clinch position the wrestlers are allowed to execute any hold or action and can win the match by fall or tecnical superiority. As in the FS clinch, the attacking wrestler must score in the 30 seconds or the other wrestler receives 1 point.
(This clip was revised on 4/18/06 to reflect an update to the GR clinch procedures.)

(1:49 minutes duration)

GRECO ROMAN CLINCH PART 3

If the match is not won by either wrestler in first 30 seconds than a second clinch is ordered with the other wrestler taking the clinch. The consequences for false starts and leaving the mat in the clinch are explained here as is the USAW modification to the clinch for 14-and-under age-group wresters.
(This clip was revised on 4/18/06 to reflect an update to the GR clinch procedures.)

(2:28 minutes duration)

 

Video clips are from the DVD "2006 International Wrestling Rules and Guide for Training Mat Officials"