Dynamic Mechanical Analysis (DMA) measurements as a function of temperature, frequency and dynamic force amplitude are used to perform a detailed study of the domain wall motion in LaAlO3. In previous DMA measurements Harrison, et al. [PRB 69, 144101 (2004)] found evidence for dynamic phase transitions of ferroelastic domain walls in LaAlO3. In the present work we focus on the creep-to-relaxation region of domain wall motion using two complementary methods. We determine, additionally to dynamic susceptibility data, waiting time distributions of strain jerks during slowly increasing stress. These strain jerks, which result from self-similar avalanches close to the depinning threshold, follow a power-law behaviour with an energy exponent ε = 1.7 ± 0.1. Also, the distribution of waiting times between events follows a power-law N (tw) ∝ t −(n+1) w with an exponent n = 0.9, which transforms to a power-law of susceptibility S(ω) ∝ ω −n . The present dynamic susceptibility data can be well fitted with a power law, with the same exponent (n=0.9) up to a characteristic frequency ω ≈ ω * , where a crossover from stochastic DW motion to the pinned regime is well described using the scaling function of A. A. Fedorenko, et al. [PRB 70, 224104 (2004)].