What are some uses for linked lists?

Linked lists have many uses. For example, implementing data structures that appear to the end user to be mutable arrays.

If you are using a programming language that provides implementations of various collections, many of those collections will be implemented using linked lists. When programming in those languages, you won't often be implementing a linked list yourself but it might be wise to understand them so you can understand what tradeoffs the libraries you use are making. In other words, the set "just part of computer science theory" contains elements that you just need to know if you are going to write programs that just work.

They're absolutely precious (in both the popular doubly-linked version and the less-popular, but simpler and faster when applicable!, single-linked version). For example, inserting (or removing) a new item in a specified "random" spot in a "mutable version of an array" (e.g. a std::vector in C++) is O(N) where N is the number of items in the array, because all that follow (on average half of them) must be shifted over, and that's an O(N) operation; in a list, it's O(1), i.e., constant-time, if you already have e.g. the pointer to the "previous" item. Big-O differences like this are absolutely huge -- the difference between a real-world usable and scalable program, and a toy, "homework"-level one!-)