The characterization of quantum chaos in many-body systems has been an active area of research in the past several years. There have been several proposed diagnostics of quantum chaos, like the out-of-time-ordered correlators and the spectral form factor, to name a few. The focus of this talk is another quantity known as the operator entanglement. A particularly interesting measure of operator entanglement is the tripartite operator mutual information which is a quantitative measure of the amount of information delocalization. By studying the tripartite operator mutual information of both unitary operators and local operators in a variety of systems ranging from conformal field theories to spin chains, we demonstrate the utility of operator entanglement in distinguishing chaotic and non-chaotic theories.