Can a piece that was moved by Telekinesis move or attack in the same turn that they were moved?

Well... yeah...

Since the piece that was being moved isn't assigned a token during that TK Move, it would be able to attack after being moved.

Yeah - using TK is like using a Taxi, except that the char you want to attack with is 10 squares in front of the rest of your team. The person that TK'd the char gets a token, but the TK'd char does not, since they didn't move on their own.

I wasn't sure. In mageknight you can't move after being levitated so I was just chacking as there really is nothing in the rules to say otherwise. Thanks all!

A lot of people seem to make that as a house rule to cut down the "cheese factor". I personally prefer it as written in the rulebook. Flight would be even more lame than it is now if played like MK. TK could still toss objects around, so it wouldn't ruin that power, though.

I agree. I don't like that you can move after being tk'ed but I can work with it. I think Spiral is my new fav (after Nightcrawler of course!).