  We give a complete classification of scaling limits of randomly trapped
random walks and associated clock processes on $\mathbb Z^d$, $d\ge 2$. Namely,
under the hypothesis that the discrete skeleton of the randomly trapped random
walk has a slowly varying return probability, we show that the scaling limit of
its clock process is either deterministic linearly growing or a stable
subordinator. In the case when the discrete skeleton is a simple random walk on
$\mathbb Z^d$, this implies that the scaling limit of the randomly trapped
random walk is either Brownian motion or the Fractional Kinetics process, as
conjectured in [BCCR13].
