Answer:

storey

Answer	Crossword Clue
STOREY	Part of the British Library?
STOREY	A lift will get you to a new one
STOREY	"The Seven ... Mountain" (Thomas Merton book)

STOREY	Floor.
STOREY	"The Seven-... Mountain."
STOREY	Floor of a building
STOREY	Part of a London building
STOREY	"This Sporting Life" writer
STOREY	Building floor, in London
STOREY	Floor, on Fleet Street
STOREY	Elevator level in Leeds

STOREY	Level served by a lift