There is an Upcoming Events tile that will reflect the events created within the space. If you would like to create Event, you can select the option under the Actions option near the top right of the group.
In regards to the integration, Jive does not currently have one with Clarizen. However if you or some developers are interested in building an Add-on to allow for an integration with Clarizen, this document provides steps on getting started building an Add-on Building the Add-on
Hope this helps.