for mapnik mostly ~1 hour. But if there are many tiles to rerender it durates longer. the renderer doesn't rerender an edit without created or changed node- or waypositions. so if you only change tags it takes longer maybe you have to empty your cache (google that)

for mapnik mostly ~1 hour. But if there are many tiles to rerender it durates longer. the renderer doesn't rerender an edit without created or changed node- or waypositions. so if you only change tags it takes longer