  The quantum kicked rotor is well-known to display dynamical localization in
the non-interacting limit. In the interacting case, while the mean-field
(Gross-Pitaevskii) approximation displays a destruction of dynamical
localization, its fate remains debated beyond mean-field. Here we study the
kicked Lieb-Liniger model in the few-body limit. We show that for any
interaction strength, two kicked interacting bosons always dynamically
localize, in the sense that the energy of the system saturates at long time.
However, contrary to the non-interacting limit, the momentum distribution
$\Pi(k)$ of the bosons is not exponentially localized, but decays as $\mathcal
C/k^4$, as expected for interacting quantum particles, with Tan's contact
$\mathcal C$ which remains finite at long time. We discuss how our results will
impact the experimental study of kicked interacting bosons.
