I think the noise you are hearing is actually the kickstart ratchet operating due to the kickstart not fully disengaging when it is at rest.
As part of the kick start mechanism, there is a gear with 'missing' teeth. When the kickstart is at rest, these 'missing' teeth should line up with the mating gear. It sounds as if your kickstart is going beyond it's normal resting place. The first thing to check out is the actual kickstart shaft - it has a brazed on stop lug - make sure that it isn't breaking away or damaged (or the stop pin bent or damaged). If that is OK, go inside the 'box and check that the key on the kickstart shaft isn't partly sheared. Which ever problem you find, you will have to go inside the 'box to get the kickstart shaft out. You can access it by removing the final drive assembly (remove the centre bolt and the 6 ¼BSF nuts, then gently tap the shaft out) . On re-assembling the kickstart mechanism, make sure it is 'timed' correctly so that those 'missing' teeth do actually line up with their mating gear.
Hope this helps,
Regards,
Eddie.