I have never bveen worried about the weight of an ordinary frame depth fret or jeweler's saw. Most of my career I just used an old fashioned steel frame German made jeweler's saw. I foundthe old ones with forged parts rather than the new sopt welded together adjustable fret saws. Who ever uses broken off blades anyway?(I know some do,but I like to get a decent length of stroke when I'm sawing).
My concern about saw WEIGHT came about when I needed a 24" deep frame on the saw I was to use on the marquetry guitars I got into making(but,I only have pictures of one finished one,unfortunately).
I made a 24" deep fret saw from yew wood. It was as thin on the frame as possible,but was STILL a great challenge for my wrist.to hold it up for hours without letting the saw droop sideways and break the blade. And,I was using 6/0 blades.next to the finest(thinnest) size available. I swear,I wantd to put a hydrogen filled large party balloon on the far end! But,this was all done in public.
The yew wood fret saw encompassed the whole body length of the guitar. The sides were carefully fret sawn into 2 halves: The cuts were so fine you couldn't see them when the marquetry was finished and glued down over the wooden substrate. The marquery vaulted back was clamped down by winding it down with twine so densely that hardly a speck of wood could be seen through the windings. This was the way they clamped vaulted shapes in the 18th. C.. Today,poor Spanish makers who can't afford clamps by the dozen,still use string as a clamping method. It works very well,and is,indeed the only way to clamp something like a guitar back down(Those old vaulted backs).The method clamps every teeny bit of wood to the sides. better than any clamp could do. You have to be careful to not over tighten each wrapping,or the pressure can build up and distort the guitar's sides. Like wraping a string around your finger many times.
A tool collector bought the fret saw off of my bench! So it is gone(and so is the money! I lost more tools that way! Really,it was hard to hang onto the tools I was making at home in my tiny shop at that time. Tool collectors frequently were among the crowds that passesd through the shop every day. We had about 3000 tourists a day in the Summer. The ticket punchers kept score. I had more energy back then! The only reason I have my curvey "Nessie" shoulder plane was,when I was unable to resist the price offered,I vowed to make another to replace it. I seldom make drawings,but still had the left over brass sheet it was sawn from. So,was able to reproduce it with no trouble as far as the design was concerned.
I made 2 more yew wood frame saws,but haven't ever gotten around t making the metal bits, such as the jaws that clamp down on the ends of plain end jeweler's saws. I had gotten interested in other projects,such as the viola da gamba I have posted here. It was played for about 45 years by a very fine musician who only recently retired(10 years ago?) That is "recent" to me I guess.
These days I just use one of those simple Swiss made jeweler's saws with the rather soft black rubber handles. Only a round,tubular steel frame,not adjustable. My friend Bill Robertson,a World famous maker of miniatures uses the same saw. He can take his apart so it takes up less space as he travels around doing classes and lectures.
Here are some pictures. The black and white marquetry guitar show only a few pictures. I can't find the rest of them. The cluster of abalone flowers is yet to be engraved, revealing the individual flowers. The saw is a smaller one I also made. But,it is exactly the same design as the deeper throat one I mentioned. The shoulder plane is the one I mentioned. Just too pretty to lose,so this one is the 2nd. one I made when the first one got sold.