  We provide a generalized definition for the quantized Clifford algebra
introduced by Hayashi using another parameter $k$ that we call the twist. For a
field of characteristic not equal to $2$, we provide a basis for our quantized
Clifford algebra, show that it can be decomposed into rank $1$ components, and
compute its center to show it is a classical Clifford algebra over the group
algebra of a product of cyclic groups of order $2k$. In addition, we
characterize the semisimplicity of our quantum Clifford algebra in terms of the
semisimplicity of a cyclic group of order $2k$ and give a complete set of
irreducible representations. We construct morphisms from quantum groups and
explain various relationships between the classical and quantum Clifford
algebras. By changing our generators, we provide a further generalization to
allow $k$ to be a half integer, where we recover certain quantum Clifford
algebras introduced by Fadeev, Reshetikhin, and Takhtajan as a special case.
