From "God's Secretary" by R.S. Gwynn:
Her e-mail inbox always overflows.
Her outbox doesn’t get much use at all.
She puts on hold the umpteen-billionth call
As music oozes forth to placate those
Who wait, then disconnect. Outside, wind blows,
Scything pale leaves. She sees a sparrow fall
Fluttering to a claw-catch on a wall.
Will He be in today? God only knows.
I googled for "claw-catch" and "clawcatch", found one sense to be a kind of a movement in juggling, that doesn't seem to fit.
Maybe what's meant here is some small crevice or other uneven feature of the wall allowing the sparrow to catch it with its claws?