Did Saruman actually get a second chance

[The Might]

very good quotes Raynor, I share your opinion on this, just wanted to add another quote from LOTR this time:

To the dismay of those that stood by, about the body of Saruman a grey mist gathered, and rising slowly to a great height like smoke from a fire, as a pale shrouded figure it loomed over the Hill. for a moment it wavered, looking to the West, but out of the West came a cold wind, and it bent away, and with a sigh dissolved into nothing.

The cold wind out of the west makes it pretty clear that the Valar denied him a second chance.