Sorry Steven. I got you wrong. The client can't set the time, its true. But while testing I found that the client is also unable to see the logged time. I have already reported this to the developer team and you'll get a fix within a couple of days. Please have patience.
Here's a problem I found in the main module regarding the project settings
When the client doesn't have permission to create new messages they still
get a create new message display when they click on the messages tab. I
would test all settings tabs in the project. If a role user does not have
permission to do something, they should be told so. It would also be a
great idea to be able to hide tabs you don't want them to see or use.
There were so many other problems in the main module such as error messages
on just doing routine things that I ended up having to uninstall WP Project
I will reinstall WP Project Manager today and see if the same problems are
there. If they are, I will make an detailed list for you.