There have actually been studies on animals and it was observed that ClO2 can be absorbed through the skin. The testing involved a cream that had sodium chlorite and an acid mixed together to form ClO2. Maximum absorption was observed after 72 hours of exposure, but absorption was observed immediately.
With an open wound, I would expect that absorption to occur more rapidly, but we are still talking about more or less momentary contact. Since there has been no testing to determine a therapeutic amount, it is difficult to guess if momentary dermal contact would result in a therapeutic amount of ClO2 being absorbed.
If I suffered a tick bite and was worried about Lyme, I would tape a cotton ball to the site and saturate the ball with an ASC solution with 600 - 1000 PPM available ClO2. I would change the cotton ball every 2 hours and re-saturate it after changing it.