Nisshin Elgin design Anniversary Clock repair Manual

Watch the video in the link and see if you can recognise the part.

https://www.google.com/search?q=Elgin+quartz+anniversary+clock+metal+wire+with+a+plastic+peg

More images here. I was hoping for a parts schematic, but would need an actual model number.

https://www.google.com/search?q=elgin+quartz+anniversary+clock+parts+diagram&tbm=isch&ved=2ahUKEwj1zfD-h6b3AhU0n3IEHYZaBxAQ2-cCegQIABAA&oq=elgin+quartz+anniversary+clock+parts+diagram&gs_lcp=CgNpbWcQAzIHCCMQ7wMQJ1D4C1ixHGDCI2gAcAB4AIABeYgB6A6SAQQxMy42mAEAoAEBqgELZ3dzLXdpei1pbWfAAQE&sclient=img&ei=mMdhYvWhNLS-ytMPhrWdgAE&bih=937&biw=1920&rlz=1C1QJDB_enCA643CA644

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recheck battery --contact and gears

You need to contact a Jeweler for this info, they have keys.

until you find a resistance to the winding movement

first google then you try

Sounds like the element is bad. It is replacable and available online at several places, I have one like yours and that is what I did, its easy to do and will get you ticking in no time

take the big hand off and move it back one square on the shaft

If there is no special winder for clock hands at the back of clock movement, you have to adjust time by lifting the dome and moving hands by finger. Move MINUTE HAND ONLY clockwise until the desired time is set. In no circumstance touch hour hand.

Wind the clock until there is a sudden increase in resistance (it is then fully wound). So not apply a great force, as older clocks may be weaker and overloading the spring may break the termination and result in a new spring being required.

If you think it is becoming too stiff, just stop winding and see how long it runs for. I have often heard the term "over winding at clock" but have never quite understood the term. As a retired engineer I think that springs that break because of overenthusiastic winding are probably near the end of their life anyway.