Looks like the ClockWork does come with front and rear brakes with aero levers, so to remove the rear brake and the cables you'll have to un-wrap the bars and re-wrap them, I would keep the lever or at least the hood on so you'll have that extra hand position.
Or you could get a Kilo TT and just throw a front cross lever on it and not have to worry about bar tape but that will end up being more expensive($350 + brake for TT vs. $320 Clockwork with brakes)