No, your Clownfish will not host it. Not will it host your Clownfish.
It is a small Carpet Anemone. It's gorgeous and easy to feed. It's as sticky as its full sized cousin so don't touch it with bare hands. It will stick to anything, tongs, gloves, etc. I'd suggest feeding slices of scallops. Just touch the slice to the Anemone and it will grab on & eat it. The more light, the better it will look. The more you feed it the faster it will reproduce.
Post a pic and then send me a clone when it splits :hilarious