I did as you adviced me (contacted Renee regarding this).
She told me they never encountered this problem ever before. They invited me to send the knife back to be inspected (and fixed). I was (and still am) very surprised they also offered to support the shipping costs. This is what I didn't expect, especially that I live overseas.

However, the problem is only in a small area of the handle that is near the choil and it is only a bit disconfortant to see the rubber remain on the fingers. But it seem not to affect the handle resistence. So I will not send the knife back only for that. I hope after taking more of the rubber on the hand during the time it will stop at some point. When I asked you (and Renee on your advice), I thought there is something simple that I can do to stimulate the rubber solidify, that's why I asked.

Anyway, the warranty is not limited in time, so I have no worries. If the handle will prove to have a more deeper problem I can send it anothertime.

Thank you all for responses on this topic and
Best Regards!