  In this work we investigate the consequences of running gravitational
coupling on the properties of rotating black holes. Apart from the changes
induced in the space-time structure of such black holes, we also study the
implications to Penrose process and geodetic precession. We are motivated by
the functional form of gravitational coupling previously investigated in the
context of infra-red limit of asymptotic safe gravity theory. In this approach,
the involvement of a new parameter $\tilde{\xi}$ in this solution makes it
different from Schwarzschild black hole. The Killing horizon, event horizon and
singularity of the computed metric is then discussed. It is noticed that the
ergosphere is increased as $\tilde{\xi}$ increases. Considering the black hole
solution in equatorial plane, the geodesics of particles, both null and time
like cases, are explored. The effective potential is computed and graphically
analyzed for different values of parameter $\tilde{\xi}$. The energy extraction
from black hole is investigated via Penrose process. For the same values of
spin parameter, the numerical results suggest that the efficiency of Penrose
process is greater in quantum corrected gravity than in Kerr Black Hole. At the
end, a brief discussion on Lense-Thirring frequency is also done.
