Then you have a very different understanding of how a compressor works than I have.
All compressors have an attack and release time, so don't act instantaneously. Clipping is instantaneous, and acts on any signal that exceeds the maximum available voltage output. Clipping always increases distortion, compression and limiting doesn't.
I do know how the studio device that is referred to as a "compressor" works. Yes, that is a very spacial case of compression - I was actually thinking of adding "the exception is of course adaptive "compressors" that change the gain/volume based on the signal level, but with a time lag for recovery" to my previous posting. That is different from the compression that happens when an amp runs out of steam in peaks.