The only situation you positively need operator overloading is when doing arithmetic, and you should do that using the built in types. This, of course, sucks when the built in types are inadequate, and you e.g. want to use a arbitrary precision library such as BigDecimal in Java.
This, of course, is an opinion, and I'm not shy to admit it's been shaped by being burned by Lift, the Scala web framework which makes heavy use of symbolic function names which makes it incredibly difficult to talk about or search for answers online.