Abstract: Cluster algebras are a type of recursively generated commutative ring whose generators (called cluster variables) appear in fixed-size distinguished subsets (called clusters). A particularly approachable type of cluster algebra is that of surface type, which can be modeled using triangulated surfaces. I will discuss joint work with Esther Banaian and Wonwoo Kang, in which we use a combinatorial expansion formula via order ideals of posets to give explicit skein relations for clusters algebras from punctured surfaces. If time permits, I will also discuss some extensions to generalized cluster algebras modeled by triangulated orbifolds. (This talk will assume no prior familiarity with cluster algebras.)