There is a Project Insight Security Setting that needs to be disabled in order to allow Jira to present Project Insight Data within Jira. Below is a screenshot of what the integration looks like if this option is not disabled in Jira.
You must be a System Administrator in Project Insight in order to see in the Left Navigation - Administration -> System Configuration -> Security.
Disable by unchecking the option "Enable browser header setting that prevents external content to be sourced through an iFrame". Then click the button in order to save your change.