Try tanh function mapped to the range of about -5 +5 and a small signal input.
http://mathworld.wolfram.com/HyperbolicTangent.html

Here's a nice approximation with five multiplies
http://www.musicdsp.org/archive.php?classid=5#238


what's the best and most cpu efficient way to clip a signal in an
analogue fashion, rather than getting nasty digital distortion?

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