As far as I know, only the sender pays fees and they are minimal.
As for chargebacks, basically the only way they can chargeback is if they claim their MB was hacked. MB usually sides with the receiver but to prevent the small chance of shit like that happening you should have the person you are dealing with send you a photo of their drivers license or some other form of ID and match that with their moneybookers details and keep for future reference if a chargeback arises