It's an all-too common problem, tearing PowerBook LCD ribbon cables. When my 165c's display went a bit mad, I tried to have a look at it and ended up ripping the cable where it bends at a right angle. It was the first time I had opened up a 100-series PowerBook so I wasn't entirely sure of the disassembaly procedure. Since then I have aquired two discs of Apple Service Manuals which I can consult before undertaking a repair.
Sadly I couldn't save the 165c, but it's parts live on as I used the hard drive and keyboard when I built a PowerBook 145b from scratch. Basically I got a load of broken PowerBook bits off eBay and constructed a working machine with 145b motherboard, 145b Floppy, 145b base, 165c's keyboard & HD and a 165 screen (not 160 as previously mentioned). The result is a very functional little machine!