Is this legit?

I just got an e-mail with the subject line: Part time assistant $1000/mo and it said:

We got your email from old odesk project and thought you maybe
interested in a new task. We looking for a partner, who can accept
payments from our customers sent by paypal and forward it back to us
minus your $20 processing fee. Being located in Ukraine, we are unable
to withdraw funds due paypal limitation. So help is need. Obviously,
verified paypal email is required for the task and you must be
familiar with the paypal system. If it sounds interesting to you, let
me know...

What do you guys think about this stuff? Could my paypal get in trouble if I constantly transfer large amounts of money?

Bad idea. Sounds like they are looking to launder stolen money. Stay away from this. You take possession of stolen money and transfer it...law enforcement will be knocking on your door and those folks in Ukraine will be looooong gone.

Yeah I thought about that. What if I receive the money and just do nothing...play stupid.

Would they be able to contact support or something?

You take possession of that money and you're in a ton of trouble if law enforcement traces it back to you. Just stay clear of it altogether unless you are looking for trouble.

Ok thanks.