I've never dealt with a SAK with analog clock, but I've owned many with electronic scales.
The material they use for the terminal in electronic scaled Vic's is soft and over time flexes. When the LED or even the LCD display on my SAK have prematurely gone out when all hope was lost and I thought they were destined for a junk drawer simply bending the terminal was enough to return positive contact to the battery and bring them back to life...
Hope this helps.