Within Teamwork.com, you can delete a project
    from your site at any time.
Note: Only site
    administrators and users with permission to add
        projects can delete projects from your
    site.
Click the options button (three dots) to the right of the project name and select the Delete option from the Manage Project section of the dropdown menu.

Once you delete a project it will be moved to
    the trash can for 30 days. Items can be
    restored from the trash can within this
    timeframe.
For more information, see: Viewing and
        Restoring Deleted Projects
                