If its paused when you close limewire, it is paused when you start it up again.
if its downloading when you close limewire, it will attempt to start downloading again when restarted.

If its cancelled, it will not reappear regardless of wether limewire is left alone or shut down and restarted, but it can be restarted by browsing the incomplete directory through the library tab, highlighting the file in question and selecting resume. (Either during that limewire session or a subsequent one)

What our friend appears to be asking for is some sort of setting where you can click on it and set a time for it to start downloading, unsure if they want limewire to auto restart so it can do it at the correct time, or if they just want it to do it at the given time if it happens to be active at the time.