A couple of stories about shooting arrows from the desert fathers, perhaps one of these jogs your memory:
Abba Anthony, desert father (source):
A hunter in the desert saw Abba Anthony enjoying himself with the brethren and he was shocked. Wanting to show him that it was necessary sometimes to meet the needs
of the brethren, the old man said to him, 'Put an arrow in
your bow and shoot it.' So he did. The old man then said,
'Shoot another,' and he did so. Then the old man said, 'Shoot
yet again and the hunter replied 'If I bend my bow so much I
will break it.' Then the old man said to him, 'It is the same
with the work of God. If we stretch the brethren beyond
measure they will soon break. Sometimes it is necessary to
come down to meet their needs.' When he heard these words
“the hunter was pierced by compunction and, greatly edified
by the old man, he went away. As for the brethren, they
went home strengthened.
Dorotheos (source much less reliable-looking, additional source):
A man who gives way to his passions is like a man who is shot at by an enemy, catches the arrow in his hands, and then plunges it into his own heart. A man who is resisting his passions is like a man who is shot at by an enemy, and although the arrow hits him, it does not seriously wound him because he is wearing a breastplate. But the man who is uprooting his passions is like a man who is shot at by an enemy, but who strikes the arrow and shatters it or turns it back into his enemy's heart.