I'm not pitscheplatsch, but:
Generally speaking, the rate at which map tiles update depends on the map you're looking at,  the zoom level, and often your local browser cache.
For map tiles in the default layer at www.openstreetmap.org , changed high zoom tiles get rendered on the fly, with low zoom tiles currently done daily.
If you're not seeing something after a few days it's probably a browser cache issue.
If you've got any more questions (and I'm sure you'll have lots) I'd suggest asking at https://community.openstreetmap.org .
Best Regards, 
Andy

