We report characteristic oscillatory instabilities related to surfactant adsorption and self-assembling around a curved interface (oil-water), based on the standard Wilhelmy plate technique. The system consisted initially of a hydroxylated glass slide in equilibrium with its wetting menisci at both oil-water As surfactant diffused and adsorbed around the oil-water-solid interface, appeared. These oscillating instabilities could go on for hours, depending on the surfactant bulk concentration, and were slowly damped toward equilibrium. These instabilities are related to the balance between different force contributions : the local accumulation of surfactant molecules within the meniscus apex causes a steric repulsive force to grow and compete with the capillary and gravitational forces, causing the intrinsic instability of the adsorbed film along the oil-water interface. Though the phenomenon was observed over a wide range of bulk concentration, its duration, spectral density, and magnitude appear to be concentration dependent.