As described it is a balk for starting and stopping.
Once the hands are together and the pitcher stops moving/pauses, the pitcher is considered set. Any movement after that point must be a pitch (excluding such things as a throw to first).
The OP described a pitcher getting set, then moving to re-set, that would be a balk for the re-set or start and stop, however you would like to describe it.
There is nothing preventing a pitcher from getting set and then taking their sign. However it doesn't sound smart because any obvious adjustment at that point would be a balk. And it would take nerves of steal not to move for such a long time after taking each sign.
Jasper
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