CUTwC does play poker. In SEPTIC hold 'em (SEPTIC being the Society of Ex-Presidential Winkers in Cambridge), each new round must start with a raise, and two cards are placed face up in the centre before bidding continues. In Anne Austin Hold 'Em, there is a round of bidding before the first two cards are turned up, and the instigator of a new round can "check" (match the bid of a previous round, with a minimum of 1, rather than having to raise). Bids are in fifth-fingers.
More specifically, for SEPTIC hold 'em: