I should have thought of this sooner; the Bridge website currently says

"THE BREAKDOWN: The Swing Bridge is still not working and will be closed over this weekend and into next week. There is a free shuttle bus running every 15 minutes and some boat-owners are running a ferry service. We will try to keep you updated. Please email if you have any further reliable information." (my italics).

You also get to look at a webcam feed on there.