[Arran]

I don't want to rain on anyone's parade but there were so many Philco Transitones produced with this same cabinet between 1941 and 1950 that I don't think it's worth spending a lot of time repairing the cabinets for one of these. Even if they are in short supply in your area there is a parade of those things being continuously listed on fleabay. In terms of gluing the chips back in I use two part epoxy, the type that sets in 24 hours not the 5 minute kind. In this case you would have to use some clamps of some kind to hold the pieces in place since they are large. One thing that I would definitely do is clean off any of the old glue residue with lacquer thinner or acetone first from the edges of the pieces.
Regards
Arran