Jira History

If the Save checklist data to Jira custom fields global setting is enabled, then changes to the checklist will also be logged in the History tab of the Activities at the bottom of the issue. The history will show the changes as having been made by the Issue Checklist app.

If you would like the option to have Custom Fields integration enabled, but not have changes to the checklist recorded in the Jira history, please vote for this Atlassian issue.