The term "lay by the heels" refers to the act of capturing or imprisoning someone. Antonyms for this phrase can include words and phrases that signify freedom, such as "set free," "release," "liberate," "unshackle," "discharge," or "acquit." Other antonyms may include words that represent the opposite of capture, such as "escape," "evade," "flee," "dodge," or "elude." In essence, the antonyms for "lay by the heels" can be represented by any phrase or word that indicates the absence of confinement or restriction, allowing individuals to move, act and live freely.