Well Jacobitism as a political force is dead so there will be no more uprisings. The Scottish Clan system is doomed in the long run but it won't be violently suppressed as in OTL without the '15 and '45. Which might in turn mean it stays dead rather than being revived by the Victorians. So you won't get the present ridiculous situation of Lowlanders wearing Kilts.
What would the international impact of no Jacobitism after 1715 be? How would the relationship between Britain and France be impacted for example, given that the French court isn't going to be propping up a Jacobite court in exile and everyone else they did to support the Jacobites and their various attempts to regain the throne? In the absence of "James III", what would French policy be?
It's been a long time since I studied this, so my memory may be faulty on this point, but if I remember correctly, the Jacobite cause' support in Scotland and Ireland was not simply a matter of love for the Jacobite claimants. That is, in both areas there existed at least in certain regions a degree of resentment against the British ruling class. Therefore, some sort of unrest in Ireland and Scotland at some point during the 18th century even without the Jacobites as a unifying rallying point may still be a problem for London. Again I could well be not remembering my history correctly here.
Also, would the absence of the specter of a Jacobite restoration alter the succession calculation at all presuming that Prince William still dies before Queen Anne? I would expect the House of Hanover to triumph given the fear of a Catholic monarch, but would anyone be inclined to support a House of Savoy succession ITTL?