With Multiple Checklist for Jira, it is possible to follow the checklists' items progress directly on Agile boards without entering the ticket.
To add Multiple Checklist for Jira - Progress field to the card displayed on the Agile board go to board settings, choose Card layout, and from the dropdown list select Checklist for Jira - Progress and click add.
Now, go to your board, you'll see the Multiple Checklist - Progress is displayed on the cards with added checklists, indicating the number of done items to all checklist items. The field be automatically updated.
Note: on Jira Server, you might need to add new context to Multiple Checklists for Jira - Progress field before you will be able to select it in the Agile board settings. If you cannot see “Multiple Checklists for Jira - Progress” option, go to Jira Settings → Issues → FIELDS → Custom Fields, find Multiple Checklists for Jira - Progress field in the list and then click menu on the right, select configure, and then ‘Add new context’.