Tony Hadland's book doesn't give a weight for the ASC, but it feels a tad lighter than an FW (which is prodigiously heavy). Almost the whole shell is full of case-hardened steel.
Did about 10 miles on it today with Miss Z, up and down some steep hills. It slipped like buggery until I realised that the way to adjust it is simply to have no extra pull left at all on the toggle in bottom gear, which is the one that is hardest to lock in*. This means the indicator rod is a mm or so inside the axle in middle gear, not flush with it. ISTR one of the old CTC guys saying this was de rigeur for an AM as well, although IME the post-1950 AM is very unfussy (earlier ones are crap, slipping all the time in low gear, and Sturney-Archer redesigned the gear ring to cure it).
Anyway, once the cable was tight enough it worked flawlessly and it's extremely smooth and quiet. I rather like it. My oil sealing worked and it didn't lose a drop when hanging up over the last week - there are about 2 tsp in there, which is quite a lot of free oil.
*to engage low gear, the main clutch moves but it's already engaged fully with the gear ring in middle gear, so that's neither here nor there. The important bit is that the "dog ring", a sort of secondary clutch, has to overcome the big low gear spring, unlock the primary sun from the secondary planet cage and lock it to the axle instead. This takes a STRONG pull on the cable and there is a position between low and middle gear where the sun is not locked to anything and no drive can be transmitted (which means a gonad/top tube moment if you're honking uphill).