  We introduce a pointwise variant of the Assouad dimension for measures on
metric spaces, and study its properties in relation to the global Assouad
dimension. We show that, in general, the value of the pointwise Assouad
dimension differs from the global counterpart, but in many classical cases, it
exhibits similar exact dimensionality properties as the classical local
dimension, namely it equals the global Assouad dimension at almost every point.
We also compute the Assouad dimension of invariant measures with place
dependent probabilities supported on strongly separated self-conformal sets.
