Please give us more detail as to how to reproduce this issue. I'm taking a look at Pathfinder on my iPad, and I'm not sure what steps I should do in order to see the same thing you're seeing.
At the top of the skills tab, it says "Additional Skills - 0 of 2 (2 left) skill points used" in a yellow-tinted button, and if I click on that button, I can add craft, knowledge, perform and profession skills to my character, and then if I add one of those, I can move my finger right-to-left across that skill to reveal a Delete button, but that same skill is available to add again.
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