Way back, "noarchive" was considered to be a tip-off to Google that you might be cloaking.
I have, up until a few years ago anyway, which is the last time I happened to check, discovered sites that were either cloaking or aggressively using "noscript" areas for optimization by looking at the Google cache, so deception is not/(was not) completely dead.
That said, I doubt very much that "noarchive" hurts you with Google. There are too many valid reasons to use it. If you were cloaking, I could argue it both ways, as your competitors might spot you before Google does.