Enthalpy and entropy are sometimes referred to as "driving forces" for reactions when their signs favor spontaneity. In that context, entropy should always "drive" the solution process forward, as long as we are talking about a [soluble] solid dissolving in a liquid. We need the entropy of the universe to increase for a spontaneous process and one increase [in the system] is better than none.

Essentially every spontaneous endothermic process can therefore be considered "entropy driven" because without the increase in entropy in the system, nothing would happen (since an endothermic process decreases the entropy of the surroundings).