I actually installed a pair of turning blocks aft of the cleat. I use these to control the spinnaker.
Basically the spinnaker sheets go though a block on the track (so I can adjust the angle of attack), then back to the turning blocks near the stern, and then across the cockpit to the winch on the other (windward) side.
Although this configuration sounds awkward, it works well - I installed it after looking at a number of different boats with a similar setup, as Selene was not originally rigged for a spinnaker. It means that the person flying the kite is on the windward side of the boat, opposite the kite, where they have good visibility and can manage things more easily.
It also separates out the jib sheets and the kite sheets. Sometimes I blow the tack, other times I unfurl the jib to blanket the kite (asym) before socking it. The person flying the kite is on the windward side, unfurling the jib is on the leeward side. Has to be done with care to ensure the furler does not interfere with the spin halyard, though. I got into a right snarl once...