The phrase "looking for a good time" has some ugly connotations (mostly because of hollywood script writers and their poprtrayal of prostitutes) but there is nothing wrong with it.

What is anyone looking for if not a good time (please don't feel free to mention anything about God at this point)?

I am keen on the "right" person as much as anyone but am content to pass a few fun times with a few "wrong" ones. No harm etc

Oh and it is rightly.