People sometimes do me the honour of sharing their fears with me. May I make it clear that I would be very very very surprised indeed ... very very very very surprised ... if not more so ... if the Holy Father were to contradict the doctrinal Magisterium of his predecessors. My advice, as always, is: DON'T PANIC!! Not now, not ever.
But I will offer a logical reflection.
It is based on the widely accepted dogma that if you chop through the bough that you yourself are sitting on, something called Gravitation will draw you with increasing velocity in the general direction of Planet Earth.
If Pope Clement XXV were to rubbish the doctrinal Magisterium of Pope Innocent XXV, he would automatically and authoritatively imply the rubbishing of his own doctrinal Magisterium. Despite the fawning rhetoric we hear in each Pontificate (what Robert Mickens has suitably termed Papolatry), no pope has more doctrinal Magisterial authority than any previous pope. So what a pope says or implies about the authority of a previous pope, he ineluctably says or implies about his own.
If Pope Clement XXV contradicts a binding doctrinal proposition authoritatively taught by Pope Innocent XXV, he ipso facto and by virtue of the principle of non-contradiction teaches that doctrinal propositions he himself authoritatively puts forward have no binding authority.
If Clement XXV denies the binding force of doctrine taught in an Encyclical of Innocent XXV, he implicitly denies the binding force of doctrine taught in his own Encyclicals. Ditto, a motu proprio. Ditto, an Apostolic Constitution. Ditto, a post-Synodal Exhortation (such as Familiaris consortio; and Sacramentum Caritatis of 2007). Et cetera et cetera all along the line.
So nobody has anything to worry about. Just to put things at the most rock-bottom and earthy level: no pope in his right mind is going to be stupid enough to cut through the bough that he is himself sitting on. Pope Francis made this abundantly clear in his remarks about how, as a loyal Son of the Church, he had no authority to set aside the teaching of S John Paul II about the purported ordination of women to sacerdotal ministries.
And, just as no pope has any more doctrinal authority than any of his predecessors, so no pope has any more authority than his successors. Now: keep your eye on Archbishop Fernandez. He's one of our Holy Father's main buddies. He's one of these extremist ultrahyperultrapapalists I keep warning you about (he is on record as criticising Traditionalists on the ground that "they seem not to have faith in the special assistance of the Holy Spirit which Jesus promised the Pope"; compare that with what Vatican I actually said about the exact, precise, limited reasons why the Holy Spirit was promised to the Successors of S Peter). This Fernandez chappie has revealed what he says is Papa Bergoglio's plan to make changes in the Church that will be "irreversible". But, believe me, prescinding from irreformable dogmatic definitions, what one pope does can be 'reversed' by a successor and often is. Clio shares this view.
The next pontificate may very well be as different from this one as this one is from the last one. Those who explain how much better this one is than the last one was will not be well placed logically to criticise the next one for being even better.
Three cheers for the best pontificate ever!!! 3x3 cheers for the next and even better one!!!