Same problem with my 2008 EX. I will be taking a look at this soon now that the weather is more agreeable to shade tree mechanic work.
Here is a link that might be helpful. Please post any progress on your problem. Thanks!
www.8thcivic.com
Here is a link that might be helpful. Please post any progress on your problem. Thanks!

AC problem 2010 Civic SI
Hello, when I start my car and turn on the AC it works great. And continues to blow cold air as long as I'm sitting in the driveway and don't rev it up above 3000 rpm. When I rev it up or start driving it the compressor shuts off and won't restart until I turn the engine off and let it sit for a...