buzztone on "[Plugin: Contact Form 7] The arrows spin but nothing happens."

This is most likely due to a Javascript conflict. Could be with the Captcha plugin you are using but could also be with your current WordPress theme or one of the other plugins you are using - see Solving CF7 Javascript Conflicts.

Remember that a problem in one script can cause issues in another. For example, some jQuery errors can stop jQuery processing any more script, which can make the culprit hard to find. A jQuery error in one of your plugins or your themes javascript files can stop jQuery processing before it gets to the CF7 script.