The CaseFleet team just released an update enabling you to export your team's task list in both printout and spreadsheet formats. The reports were also tweaked to ensure due dates and times reflect the users' local timezone, rather than as UTC.
To view your task list in a printable format, click the printer icon at the top-right of the Tasks tab. For a spreadsheet version of your task list, choose the "Download CSV" option:
For more information on Tasks in CaseFleet, click here.