In message <rcDcb.3874$jJ3.57137@newsfep4-glfd.server.ntli.net>, Martin <ml_news@ddnospamddml1dd.co.uk.dd> writes

On a slightly less extreme scale:

Is there any advantage in using the moon to 'sling-shot' probes into our solar system rather than using big boosters and a long time?

I think the advantage would be more than offset by the horrible limitations that puts on your launch trajectory. You don't even get much advantage because the Moon is so small.
OTOH, using the Earth for a sling-shot is almost standard practice.