The phrase "gave tumble" is not a word per se, but rather a combination of two words meaning "fell down." Antonyms for giving a tumble would be words that express the opposite of falling down or losing one's balance. Words like standing, rising, ascending, balance, stability, and security could be considered antonyms for "giving a tumble." Other words that could be used in the context of antonyms for this phrase include: remain standing, steady, upright, poised, erect, and firm. These words describe a state or condition of being upright, balanced, or stable, and are the opposite of the act of falling down.