Spin-waves have been studied for data storage, communication and logic circuits in the field of spintronics based on their potential to substitute electrons [1,2]. Recent discovery of magnetism in two-dimensional (2D) systems such as monolayer CrI3 and Cr2Ge2Te6 has led to a renewed interest in such applications of magnetism in the 2D limit [3][4][5]. Here we present direct evidence of standing spin-waves along with the uniform precessional resonance modes in van der Waals magnetic material, CrCl3. Our experiment is the first direct observation of standing spin-wave modes, set up across a thickness of 20 µm, in a van der Waals material. We detect standing spin-waves in the vicinity of both, optical and acoustic, branches of the antiferromagnetic resonance. We also observe magnon-magnon coupling, softening of resonance modes with temperature and extract the evolution of interlayer exchange field as a function of temperature.