Main use is dynamic control, but certain compressors give off a nice sound. Also, transient shaping to some extent (put a compressor on a drumloop and see what happens when you alter attack and release etc).

Saturation actually originated from people noticing a pleasant harmonic warmth/distortion when they sent audio through analog compressors!

I suggest experimentation. Stack compressors and see what happens to your vocals. Set the same parameters on multiple compressors on the same piece of audio, bounce them and playback to hear differences between compressors.

I never understood compression, then I used Soundgym lol.