Correct, the oral teaching and the scripture are together sufficient to perfect the clergyman, exactly what the Catholic Church teaches.
At the time of Timothy; no more teaching and Scripture is required...
to perfect the clergyman
And where is that found? I see man of God, we are all men of God, we are all called to spread His Word. I do not see a restriction in that verse to clergy!
exactly what the Catholic Church teaches
Except the Catholic Church has added theology and teachings beyond that which existed for Timothy, and claims that it must be accepted as inerrant.