Have you just acquired or “cough” bought links and are now wondering how long it will take for them to have an impact on your rankings?
It could be anywhere from 1 day to 2 months and there are important factors that go into this
The first thing that needs to happen is that the page(s) that contain your links need to be indexed by google. And there is no real set time frame for this. A lot of factors will go into how often a given website is crawled and indexed by the big G. You also need to check that the pages that contain your links are accessible via internal links on the source website. If the page is an orphan pages or only accessible via page 8 on pagination then it could take a long time for it to get indexed. As an aside this is something I would always check prior to acquiring links.
Once it’s indexed and it shows up in your google search console then you start monitoring the page and query to see if it has an impact. It may take days or weeks again and as sometimes happens, your acquired link may have no impact