The general theory of relativity describes gravitation as a curvature of spacetime, smooth manifold with Lorentzian metric. A different light was shed on the theory with the discovery that black holes behave as thermodynamic objects, satisfying laws analogous to the one of thermodynamics and radiating with a thermal spectrum, confirming that gravitation, thermodynamics, and quantum theory are intimately related. Taking this connection seriously led to attempts, united under the name “Emergent Gravitation", to describe gravitation as an emergent phenomenon, a result of collective motion of some yet unknown microscopic degrees of freedom. In this work, we give an overview of various models of Emergent Gravitation, as well as the constraints such models should satisfy to reproduce General Relativity at a larger scale. We consider different lines of thinking in the Emergent Gravitation approach by studying Causal Set Theory as a representative of Emergent Gravitation models where spacetime is considered as a derived notion, resulting from coarse-graining of a discrete set of points with causal relations between them, Weinberg-Witten theorem as a constraint on an idea that graviton, a mediator of gravitational interaction is emergent, and the role of thermodynamics in General Relativity in the scope of black holes and their horizons, but also horizons in general.