The antonyms of "clamps down on" are relaxed, loosen, release, ease, let up, and lighten. When we say "clamps down on," it suggests an action of exerting power or pressure to control a situation. On the other hand, the antonyms connote the opposite of exertion - they imply an action of letting go or easing tension. For instance, instead of using force or pressure, we can choose to use gentle persuasion or negotiation to achieve a favorable outcome. In summary, the antonyms of "clamps down on" promote a more peaceful and collaborative approach towards conflict resolution rather than resorting to force and repression.