The textField variable (I assume it is an ivar in the class or a static global variable) is your main problem. You create a new text field each time you create a new cell, which is fine, but then you add it to a cell every time the cellForRowAtIndexPath method is called. Since cells are reused this will screw things up.
Create a custom cell to place your text field, for the love of god. You shouldn't have addSubview: related code in your tableView:cellForRowAtIndexPath:; just code that allocates the cell, and configures the cell enough so that the cell itself can display things they way you want them.
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