I doubt it'll split. Getting rid of the clown may have provoked it to move, but it's more likely that it's moving to find it's "happy spot." The tank hasn't been set up long, so it hadn't "decided" what it wanted to do yet. As it moves around, you may need to move corals out of it's reach, as it's likely to sting corals, as it gets near to them. Moving doesn't mean it's stressed, though stress can cause them to move. If it is stressed, there's a possibility it may split. However, it'd have been more likely to split, from stress, during the move, when you moved the tank.
Another thing to watch for, as it's moving around, is power heads. If it releases it's foot, it could float around, and get sucked into a power head. If it moves too close to a power head, it could be damaged, from the power head. Worse case, if it does get sucked into a power head, DO NOT try to pull it out. Unplug the power head and let it work it's self out, on it's own. If needed, you can also cover power heads with sponges or cages, to protect the anemone from getting too close to them.