One cell of the whole table decided to move text to right side after being set to be in the center. Sometimes the text is moved to the top after being set to be centered via the alignment option.
I make sure every setting there is is st to keep text in center of the cells. Why would one cell think otherwise. In fact I remember in past this happend to many cells at a time but no pattern. Any idears?

Anything wrong with just fixing the one cell where the alignment is wrong? If all, or a bunch of cells should have the same alignment, then just select the correct ones, format the cells, and fix it.

Note that when you add a new row, column, or cell; sometimes the formatting for that new row, column, or cell is whatever the application default is.

See whether the culprit cell has an ending carriage return which is throwing off the expected alignment.

OK

Not sure what you mean? After working on a cell or cells I just protect them and that seems to prevent crazy changes.

People were responding to your original question which says:From what you just wrote you're implying that you have solved this problem by getting cells the way you want them and then protecting them.

My suggestion was to fix the cell and evaluate if this was a case where you inserted or added a row or column and the reason for different alignment was possibly because newly inserted or added cells got some default alignment.

AnanthaP's suggestion was to see if there happened to be an inadvertent extra carriage return which may cause alignment to simply be different because there's possibly an extra line that is empty.

Also if this install of Libreoffice is NOT the operating system DEFAULT

you should upgrade to the CURRENT version
Libreoffice 4.3.4
http://www.libreoffice.org/download/libreoffice-fresh/