I have a Veritas twin screw vice with the jaws made from wood, i sometimes need to adjust each side of the jaw separately as the vice can rack, i.e. it dose not grip with even pressure across the full width of the vice.
I visited Workshop Heaven last week and while there tried a couple of planes Matthew is marketing, he had a sheet of 'Workshop leather' draped across the back jaw which griped the piece of wood in the vice was tightened up.
When planing i normally put the piece on the bench top with a stop at the far end of the bench, planing deep narrow boards is more of a problem as the piece will not stand up on a bench top when planing, so I tried the idea of clamping the board against a piece of leather in my vice at home, it worked really well, a very useful tip! (look at his website - he lists this as one of its many uses).
BW
Mike