from The Century Dictionary.
- noun In India, and among foreigners in China, Japan, etc., a memorandum-book in which chits, notes, or parcels sent by messenger are registered, with a space for the initials or signature of the receiver as proof of delivery; a delivery-book sent with chits.
Sorry, no etymologies found.
At the club you call for say two sherries and one bamboo (half sherry, half vermouth) and the waiter brings them, together with a small chit-book in which he has already written down your order in pencil, and this, after inspection, you simply sign or initial, when it is torn out and dropped into the till and you see no more of it until the end of the month, when your club bill comes in, supported by all the chits you have signed.
Life and sport in China Second Edition Oliver George Ready