A key aspect of analyzing dynamical systems is understanding how particles move and evolve over time, particularly in terms of their ability to generate currents and diffuse. An important category of dynamical systems is two-dimensional quasi-integrable Hamiltonian systems. These systems display a mix of chaotic and regular regions in their solutions, making them non-ergodic. However, even when we focus solely on the chaotic region, excluding the regular ones, certain areas can exhibit quasi-regular behavior for extended periods, a phenomenon known as stickiness. This stickiness represents regions where trajectories remain trapped for long, albeit finite, durations, thereby influencing the transport and diffusion processes within these systems. To identify and quantify stickiness, we employ entropy measures derived from recurrence plots. We demonstrate that finite-time recurrence entropy is an effective tool for distinguishing between different stickiness regions, proving to be as reliable as calculating the finite-time Lyapunov exponent. We illustrate these concepts with an application to a paradigmatic Hamiltonian system, the standard map.