Charles is a shareware tool that can be used to debug connectivity and other issues with LiveCycle Workspace. A Firefox plugin is also available. Evaluation version is free for 30 days.
Once installed and configured, it will give you very detailed information on the requests being sent by the browser to the LiveCycle server as well as the responses from the LiveCycle server back to the browser. It is supported on Windows, MacOS and Linux. It also has a 64-bit version.
AMF3 is supported natively, with an AMF tab that displays the contents of AMF3 messages in a readable hierarchical format.
It is essentially a Java proxy application that needs a JRE to be installed (the JAVA_HOME environment variable needs to be set).