I've done this. If I need a big ratio of compression, but still need it to sound natural and transparent, two compressors in series set to half sounds way more natural than trying to get one device to handle all the compression. If you don't work the device to the limits of it's range, then you won't 'hear' the device 'working' on the sound so much and you'll hear more of the natural sound of the instrument. Studio engineers and producers call it "pumping" and "breathing" that compressors do when you work one unit to extreme ratios. It's not really desirable and it sounds noisy when it happens.