 This paper examines phase locking behavior in two-qubit systems undergoing continuous Markovian evolution. It identifies several different types of phase locking mechanisms, including one that preserves information about the initial state. Additionally, it establishes an upper limit for the amplitude of oscillations of the resulting phase lock dynamics. Finally, it shows that entanglement production does not necessarily indicate phase locking behavior. This article was authored by DTRBA, Jane Avotny, and IJEX.