OK, This posting will be an example for others on what not to do when an anemone disaster strikes.
Anemone entered your intake filter. I believe you were warned about that. Being a BTA they are very naturally and expectantly going to wander the tank, especially being new to the system. This is why you need to protect those intakes and power heads.
Now that's bad enough, and causes trauma to the anemone, and it might have even lost some tentacles, but I have seen where they can recover from this. There was another posting just last week about this same situation.
What makes the situation worse is cutting it out, this has caused even more trauma to the anemone, and is the example of what not to do.
Right now its anyones guess if he will make it or not, I grant that he looks better and inflated now, but the trauma caused could be enough to kill him.
What should have been done is to remove the filter intake like you did and then just leave him on the sand bed where he can make his way out of the plastic grid on his own. This requires patients, if you had done this he might have stood a better chance of survival. This is not like a coral that you can cut and it will revive or even sprout more anemones, although that is not unheard of either, but very rare. It is in fact an animal, and cutting parts of an animal off is not a good thing.
About all you can do now is run fresh carbon to help absorb any toxins that may have been released from the wounds. Watch him closely over the next several days, especially the first 24-48 hours.
If he dies then I suggest that you give up on anemones for a while, or consider a different type of host for your clown fish.
Thomas