Would that even work? If you use std::vector within an arena, you allocate twice as much memory as you need to, since the old arrays can't be deallocated. You might want to use std::deque instead. Memory management is not independent from data structures - std allocators smell to me like another failed experiment, like auto_ptr mentioned in another comment.

Also, with allocators you can replace new and delete, but you can't implement anything that doesn't fit into the new/delete paradigm, like any allocation strategy that requires moving objects.