You wouldn't keep tourney chips. These would be live chips. Casinos frequently provide safe deposit boxes to their high roller table game players for this purpose, and yes, it's smart to keep good records. But that's for taxes, not money laundering.

But where you run into money-laundering suspicion is with frequent buying in and cashing out. If you just keep the chips, there is no cash to account for except the initial buy-in and final (if ever) cash out.