If the needle moves then watch the odometer. Are the numbers turning? If yes then look at the trip odometer. Are the numbers turning? If yes to both questions then will the trip odometer reset?

If yes then your speedometer is fine.

So it is on to your cables. (The system on the 114 is mechanical. There is nothing electrical that can prevent the speedo from working.) What I have found is the system has a flaw in it that only becomes apparent with age. That is, if this is the typical system and not an aftermarket one.

The speedo cable comes up into the car. Find where it begins, under the car, and see if it is still attached. If so then move on into the car, or perhaps under the hood (these were mostly dealer installed so sometimes the installers got creative) and find where the speedo cable comes into the car. It will attach into a 'box' which is actually more of a mechanical connection looking thing. This is a pulser that sends a speed signal to the workings of the cruise control.

There will be another cable coming out of it and that cable attaches to the back of your speedometer.

Now, back at the pulser... Due to vibration over the years the cables can work their way loose. It will not take much for the cable to fail to connect, and if it is not engaging the interior of the pulser it will not drive the cable to the speedometer.

And the flaw I spoke of? At the dealer the installer was supposed to dab a bit of paint on the outside of the cables to prevent them working loose due to vibration. And a lot of them failed to do this.

I might have a pulser here somewhere, or at least a photo of one. If I can find it I will post the photo and you will know what you are looking for.

One bit of good news.... These pulsers were generic things. If you can't find another 114 to pull one from then search the salvage yards for Hondas. They used the same type of pulser on the Civics up until 1986. Or hit Evil Bay.

Best case is the cable just shook loose at the pulser. Screw it back together and put some tape around it to keep it from backing off in the future. Don't tighten too much. These were made of soft metal and deform easily.