Except that is nonsense, right? A screw or bolt has an axis of rotation around which you can turn it clockwise or anti-clockwise. There is no way to turn something to the right or left.
Not really. I speculated that it has to do with the “right-hand rule”. That rule does not say that you turn anything to the right or left, however. It means that if you have a right-handed coordinate system (or screw), the positive orientation is as illustrated:
If you turn the bolt in the direction indicated by the circular arrow (I would not call that “right” or “left”, or even “clockwise”), it helixes/advances in the direction of the straight arrow.
Sure you can. You can make something tighter. It can be more tight. It can be tightened more. However, it can’t be more tighty or tightied more, or tightier because those aren’t words. It’s difficult to type this post because the spell checker keeps changing them.