Does the Time Bomb actually have sleep capabilities then? Pretty much all of Seiko's kinetic movements have this capability for instance...
I think you mean Seiko's Kinetic Auto Relay watches.. those are the one's which will
go to sleep and then once shaken(even a bit)
come back to life. But in those the hands would move fast(i.e. not in one or two second intervals like you mentioned) to the correct time as soon as it is shaken. It sounds to me like you're rechargeable battery has reached the end of it's life now and needs replacement.
It's probably not honding charge.. though I think there's a way(watch specialists would know) whereby you can "kick start it" or at least check if the battery is still functional. The other option might be to get an electric watch winder and leave it on that for a couple of days straight.