Reel out is a phrasal verb that means to unwind or unravel something. When we reel out something, we are letting it go or exposing it. The antonyms, on the other hand, would be words that have the opposite meaning of reeling out, such as to wind up, pack up, or compress. These words imply pulling something in or making it smaller, rather than letting it out. Therefore, the antonyms of reel out would be roll up, gather, pack, tuck, or contract. Each of these words denotes a physical action of folding, compressing, or bundling up, which contradicts the idea of unraveling or unspooling something.