My dad owns a Skip company...
He offers insurance to his customers (within the pricing), and in fairness they are warned pre-delivery/collection about moving the skip to a place that might not be possible for the lorry to get to... so if anything is damaged they can be refunded in some way, and if they did move it.. tough teabags!
Not sure why he didn't stop (

) but at least the neighbour can ring them up and mention that you saw the event!