Dribbling while running is a basic basketball skill.
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带 'to carry/take along' + 球 'ball'. Standard in football and basketball commentary. Contrast with 运球 (yùnqiú), which is the more technical term specifically for basketball dribbling.
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Internet slang 带球 can also euphemistically mean 'to be pregnant' (as in 带球跑 = running off while pregnant, a soap-opera trope). Context makes the sports vs. slang reading clear.
