I use the Church super clips at the back of the boards, and yellow Offshore clips on the front of my Offshore boards. Never had to wrap. But I prefer to have the front clip release so even if the fish take the board under, your only fighting the fish, not the board. And when the front release lets off, the board will fall out of formation headed to the rear of the boat automatically.
Like mentioned, tighten the screw down on your Church front clip. Make sure your putting the line all the way to the back of the clip where it is almost hitting the screw. You should not be able to even jerk that line out of there while holding the board. I know with mine, braid will try to cut into your skin before you can rip that braided line out.