Adam Clarke on Psalms 58:6

Break their teeth - He still compares Saul, his captains, and his courtiers, to lions; and as a lion's power of doing mischief is greatly lessened if all his teeth be broken, so he prays that God may take away their power and means of pursuing their bloody purpose. But he may probably have the serpents in view of which he speaks in the preceding verse; break their teeth - destroy the fangs of these serpents, in which their poison is contained. This will amount to the same meaning as above. Save me from the adders - the sly and poisonous slanderers: save me also from the lions - the tyrannical and blood-thirsty men.