Yup, it's a concern my part of the world, with the wonderful Humber Bridge, as the two bridges are very very similar in design, the Forth Bridge being a little older, both have been snapping steadily for years.

With the Old Clifton Suspension bridge being supported by chains, I do wonder were a derivative of this used on the Forth / Humber, and not not wire, any such failure would be as simple a repair as 'ooh, a chain's snapped. Right... install a new link, then'
Sadly the miles and miles of single cable which zig-zag from one end to the other and back again, like a huge skein of wool isn't very easy to just replace.

I've thought about it for years, and can't conceive of any repair procedure that wouldn't dwarf the cost of just building a new bridge.
much maligning is directed toward the bridge closure, but as said, this is a precautionary measure for a bridge which, with proper care, could last many more years yet, it's carried far, far more traffic that was anticipated.
Also look up the Tay Bridge Disaster for the forgotten side of Victorian Engineering.
