Nesting

Is there a safe precedent for putting a nest safely back up in case other birds might use it? This nest clearly gave some fledgelings the gentlest start, but had all but slid out of a hedge of vines. I didn’t notice it until now because it was back-to-front, so still well camouflaged. It looks as though it still has a lot to give, suggestions welcome. Othewise I suppose it can sit on the garden table and be re-cycled by birds a bit at a time.