Some uses that I have come across:
1) saving a program's state data to disk so that it can carry on where it left off when restarted (persistence)
2) sending python data over a TCP connection in a multi-core or distributed system (marshalling)
3) storing python objects in a database
4) converting an arbitrary python object to a string so that it can be used as a dictionary key (e.g. for caching & memoization).
There are some issues with the last one - two identical objects can be pickled and result in different strings - or even the same object pickled twice can have different representations. This is because the pickle can include reference count information.
To emphasise @lunaryorn's comment - you should never unpickle a string from an untrusted source, since a carefully crafted pickle could execute arbitrary code on your system. For example see https://blog.nelhage.com/2011/03/exploiting-pickle/
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