Since I mentioned Cung Le vs Shamrock in another thread, I figured I'd post the highlight reel here since it is significant. You'll see three things that are relevant to the OP:
Cung Le gets taken down by Shamrock during a kick, but is able to avoid the ground game and get back on his feet.
Cung Le fails at a head kick, maintains his balance, and still pulls off a spin back fist. That's a lot of power if you've never received one BTW.
Cung Le catches one of Shamrock's kicks and does a pretty harsh foot sweep. He also chooses to walk away instead of going to the ground.
YouTube - Cung Le vs Frank HL