Regarding squeeky tachometers in colder weather, Frank Mallory said: I have a theory why this happens: the tach and speedo cables contract and shorten slightly. When they shorten, if they are snug in the instrument head, they pull the rotating drum inside the instrument, against the inside back of the instrument case. There is normally no lubricant there, so this makes it squeel & causes the needle to jump around. The solution is not to lubricate the instrument, which would be hard to do; rather, fix the end of the cable so that it doesn't bind & pull. Dress it down with a file, then lubricate it with CLP or some other kind of low-temperature oil (e.g. gun oil).
Will Samples added: I have had several cars made in the same era as the 113 and all of them suffer from either squealing tach or speedo. All I do is have the instrument serviced. I assume they take it apart and refresh the lube inside. (A squeeky) noise in the speedo is usually inside the speedo, not in the cable. It is especially noisy in cooler temps. The fix is to have the speedo serviced. Also, do not reset the trip meter when the car is moving.
Cees: when my tach started to screech from time to time, I simply replaced the cable. It not only has stopped screeching completely, but also the needle is now rock-steady, where it used to bounce a little bit around certain RPM's. The cable was inexpensive and fairly easy to replace.
'69 white 280 SL