I have inherited a Howard Miller Graham Bracket Tabletop Clock in excellent condition. It has 3 song pattern chimes, which work well on the hour, half hour and quarter hour. However, no matter what I do the clock hour chime will only chime one time.

Hi Pam,
I have a Howard Miller Grandfather clock and the pendulum swings very slowly and from far left to far right travels only about three inches at best. It doesn't need to move any more than that to make the "Verge" move the "Escape Wheel" to rotate the gears to keep the hands moving at the correct tick.
Howard Miller Grandfather Clock

Get it to chime then loosen minute hand then move hand back to the 12 or 6 position tighten minute hand and test to see if that works

http://www.howardmillerusa.com/customer-support/how-to-setup-howard-miller-grandfather-floor-clock.html
Click on this link for the setup info you need and read

More than likely, there are springs that activate the levers for it to chime, or bong, they may have got jammed up, you can open it up, and see if you see anything like that, if not, you will have to take it to your local jewelry store, or watch/clock makers to have them take a look. You never indicated what type of clock (make or model) so I can\'t be certain. Maybe a ships clock? They may want to charge you for a overhaul of the movement, but you can tell them to just "make it work" if it was running fine before (keeping time well) then an overhaul probably isn\'t necessary. It sounds like something may have got jammed.
I hope this helps !

Try this link
http://www.howardmiller.com/product_manuals_warranties
and this one
http://store.howardmiller.com/wcsstore/HowardMillerPublicSite/Attachment/496990_r4_Quartz_Wall_Mantel.pdf

The hands on your clock are probably friction fit, meaning that they can be adjusted, possibly even without tools. The hour hand is usually a firm slip fit over a tube, meaning that it can be slid forward and backward an hour or more as long as you hold the minute hand steady to keep the hour shaft from turning.
The minute hand may be trickier to adjust. Sometimes, it, too, is a simple friction fit, and you can pop off the hand (remove the second hand and pull the minute hand straight up off its shaft) before setting it where it should go. Other times, however, the minute hand is on a keyed shaft and has to go on in one of two directions. It's still possible that someone could have assembled your clock incorrectly, however, making the minute hand 30 minutes out of sync with your chimes.
If neither of these ideas helps you, please describe better exactly how the time isn't matching up with the chimes. That will help us better understand the underlying issue.

Press the red button at the back and go through all the hourly chimes until you get to the next chime due i.e. if its 3.15 whebn your doing this, only go through the chimes until 3 o'clock and no further. Then turn the hands clockwise ONLY never anticlockwide and she should be fine.

You were not very specific about you clock description, Many of the German clocks were using auto correct features.

You may not have this function.

Move the hour hand to the correct hour.

Hope this tip help you.

R/
David
http://antiqueclock.clockstop.com/

On mine, the center one (@the 6 position) is the one that keeps the pendulum swinging. It is the one that lengthens the most during the week and if I forget to wind it, that pendulum is all the way down when the clock stops.