The phrase "gives whirl" means to try something, experiment or attempt it. Its antonyms are to refrain, restrain or hold back. The opposite of giving something a whirl is to avoid it altogether, to abstain or resist. Other antonyms include hesitating, hesitancy or delaying. When one is unwilling or unsure about trying something, they can be described as reluctant, undecided, or hesitant. Alternatively, if someone takes no interest in something, they may be disregarding, ignoring, or neglecting it. In summary, the antonyms for "gives whirl" are a combination of reluctance and resistance or total avoidance.