Right now you cannot export the time logged into a format which you can send to a client.
We built a Laravel App that uses ClickUp API to export a timesheet based on a selected period.
The App goes trough all open and archived lists and fetches the data, then orders it into a timesheet like the one attached, which we can send to our clients.
This is not ideal, also ClickUp API limits API calls and if you have a lot of tasks, it takes a while to generate it.
It would be also cool to export timesheets per tags or per person as it happens that design is charged differently for us.
All time tracking services are really expensive and do not integrate properly with clickup. The native clickup functionality works fine. If a timer would be available without an extension, but right now it works. We just need our data in a digestible format like the one below.