I find * useful when writing a function that takes another callback function as a parameter:
def some_function(parm1, parm2, callback, *callback_args):
a = 1
b = 2
...
callback(a, b, *callback_args)
...
That way, callers can pass in arbitrary extra parameters that will be passed through to their callback function. The nice thing is that the callback function can use normal function parameters. That is, it doesn't need to use the * syntax at all. Here's an example:
def my_callback_function(a, b, x, y, z):
...
x = 5
y = 6
z = 7
some_function('parm1', 'parm2', my_callback_function, x, y, z)
Of course, closures provide another way of doing the same thing without requiring you to pass x, y, and z through some_function() and into my_callback_function().