Thinking "ITGlue"-esque checklists would be a very useful feature. My thoughts on how this would work:
Ability to create Tasks: with each task being an object with associated user, time completed, and total time values,
Ability to create task-list (checklist) templates, the template being a list of tasks in the order you want, with an associated name/title
Ability to assign Tasks to Tickets via a modal by manually selecting tasks, or assigning a template.
In ticket view: on right, in card, a list of all tasks tagged to the ticket.
Each Time+Note article on a ticket has a user editable dropdown of all said Tasks, that they can tag on the article.
Once one time is recorded for a task, it is marked off on the checklist on right.
I love PHP, and have written a few webapps myself, but I have not taken enough time to understand the structure of the project. I would love to help with this though.