I am using the Jira Importer Plugin for importing(and auto updates) tasks/stories from Pivotal tracker to Jira. I did the External Link Import to create a Project in Jira for a Project in Tracker and it works fine the first time.
I don't see the updates in PCT(for tasks and subtasks) getting automatically reflected to Jira unless I do a manual pull from Jira. I believe the task status and updates done in PCT should get auto updated in Jira. Can you please confirm if there any additional settings required for that.
Also seeing the following error in the Jira logs
2018-01-25 08:57:17,966 http-nio-8080-exec-22 WARN anonymous 537x11625x1 13yt2po 100.117.242.53 /projects/TEST/issues/TEST-3 [c.a.jira.permission.DefaultPermissionSchemeManager] No permission scheme is associated with project 'App Development'