‘And being in readiness to avenge all disobedience, when your obedience shall be made full.'
The weapons of he and his fellow-workers being so effective Paul is sure of victory. These weapons will bring the Corinthians in obedience to him and to God. And they can be sure that once they have guaranteed their full obedience to him as God's chosen Apostle, he will avenge the disobedience of his opponents on all who have opposed him. They will be dealt with as crushed rebels.
As the obedience is to be to him as an Apostle, we must see the disobedience as also reflecting disobedience to the Apostles, possibly as not following though the decisions of the Jerusalem council (Acts 15). Or he may be signifying that they are refusing to genuinely acknowledge Apostolic authority overall, rather falsely claiming such for themselves (2 Corinthians 11:13).
So once the battle is won those who have rebelled will be called to account, although he does not tell us in what way. The thought may be of exclusion from acknowledgement by the recognised worldwide church, their ‘delivering to Satan' (1 Corinthians 5:5).