This arrangement was quite specifically intended by and between the bank's partners and the club of which they were founding members when the building was designed.
The branch closed in 1999 and was turned into a pub of the Fullers chain.
It provides club facilities at lunchtime, dinners several times a month, and space for private occasions.
It has no connection with City, University of London, which was given its Royal Charter in 1966.
Notable members of the City University Club have included Prince Arthur, Duke of Connaught and Strathearn, the author Evelyn Waugh, businessman Sir Chips Keswick, and the Lloyd's underwriter Ian Posgate.