Oscillating bubbles create a mean net flow in the surrounding fluid through non-linear effects in the boundary layer of the bubble, often referred to as microstreaming. The induced mean flow and the created shear forces in the bulk and at surfaces can be used, for instance, for mixing, transport of particles, or controlled action on objects or cells. Understanding this process quantitatively might help in biomedical applications or in sensitive cleaning without damage. Here, we study the streaming and the shear stress on a nearby solid wall induced by a bubble oscillating in a moderately strong ultrasonic field of 30 kHz. High-speed recordings are compared to 3D axi-symmetric numerical simulations, based on the Finite-Volume / Volume-of-Fluid method for two compressible fluids, including surface tension. The experimental results show that complicated surface mode oscillations occur that finally destroy the bubble into a localized “chaotic” bubble cluster. Nevertheless, an “ordered” averaged flow field seems to persist far from the cluster, transporting away split-off microbubbles. Numerical results can reproduce rather well the bubble’s surface oscillations until the breaking of axi-symmetry. Direction and magnitudes of calculated net flow velocities are compared to estimates from microbubble trajectories and show reasonable agreement.