I think it really varies from person to person.
My swelling went down very slowly. I was a little worried because the swelling was still there for the third month, but by the sixth month, almost all of the swelling had gone down and the tip of my nose became more natural.
My friend had it done by the same doctor at the same hospital as me, and I saw him 2 weeks after getting his nose done. But even in the second week, there wasn't much swelling and it felt natural, so I think my friend's swelling went away rather quickly.