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There are probably 35 pins between the drive sprocket and the trailing tooth on top of the rear sprocket, even a fairly new chain would account for a few mm of movement, similarly, any slight rock on the front sprocket, multiplied by the front/rear sprocket ratio and then by the difference in the radius between the rear sprocket and the tyre contact patch could be a large contributor.
The most likely "culprit " will be any slack in the driven plates to the clutch basket. This obviously has the same multiplier as the front sprocket.
If the primary drive was worn I suspect it would make a dreadful noise
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