Just imagine this, a non inverting montage with a couple diodes feeding back. I get how it works, it will amplify the signal until a certain point, at which it will just pass with no gain, creating a distorion (ovedrive, called in the 'guitar world'). I just want to know if I got this right. Being v+ = v-, we are basically comparing the output with the input, when the output is 0.7 V bigger than the input, it activates the diodes, and the signal passes through unchanged (without gain).
Or better yet, the output follows the input voltage, as a transistor in saturation mode.