I would like to bring this issue to some conclusion.  Here is the summary:

Pro:

   datetime.time.now() is shorter than datetime.datetime.now().time()

Cons:

1.   date, time = datetime.date.today(), datetime.time.now() is attractive, but wrong.

2.   time detached from date is a strange object with limited support in datetime module (no timedelta arithmetics, issue 17267; tzinfo issues; etc.)

3.   No compelling use cases have been presented.