Woolgathering refers to indulging in daydreaming or wandering thoughts. However, the antonyms for woolgathering are quite opposite, and they refer to being focused, attentive, and alert. These antonyms include words like concentrate, focus, attend, and mind. They imply a direction and purpose in the way one thinks and behaves. While woolgathering can be a sign of creativity and imagination, being focused and attentive can lead to productivity, success, and achievement. Therefore, it is essential to balance both woolgathering and being alert, depending on the situation and task at hand.