I think there are errata in Addiction Tests on page 414, but the text is difficult to follow, so it may just need clarifying.
I think that the intended rule is as follows. If you take a drug at least once in each of (11-Addiction Rating) consecutive weeks, you must make an Addiction Test. If that is right, then Kamikaze should either have an Addiction Rating of 10, or should not be given as an example of something that could get you hooked with a single dose, because at the moment you need at least two doses, in consecutive weeks.
However, if this is right, I am not at all sure what "The clock on this keeps ticking even if you skip a week" means. If you skip a week, you have not used the drug in more than one consecutive week, so you don't have to make any tests at all.
The source of the problem is that "Every time you use an addictive substance during (11 - Addiction Rating) weeks in a row" does not make sense. The above is just my best guess at what it is trying to say.
As a separate issue, the Magic chapter says that Focus Addiction is not a problem unless the total Force of active Foci exceeds your Magic Rating, but the Addiction rules do not reflect that.