Wall clock not working

If you are sure the hands are not touching as they pass, perhaps the minute hand and hour hand are binding together at the hub. Try this: Gently pull on the minute hand by gripping its hub with the nails of your finger and thumb. It should slide forward a little (or come off). Also the same for the hour hand, to ensure it is not binding on the face of the dial.
I don't know the particular clock, but if it has a SECONDS hand, this is often the one that needs to be freed.
If all the hands are free, all should be good. If it has a seconds hand and the clock stops when this hand is going "uphill", try a fresh battery. If this doesn't fix it, remove the seconds hand and use the clock without it. Or you could try to counterbalance the hand by adding a little weight to the opposite side... this could work, but as it increases the mass of the hand also, it still might be a problem.
Another way might be to shorten the seconds hand..!