Once submissions are made, it can take anywhere between 3–90 days for directories to approve your site. This time period varies from one directory to another. Also, not all directories review and approve each and every submission. Generally, by the end of three months you could expect an average of around 30-35% of link approvals.
These links have many benefits. Directories link to you using your chosen link/anchor texts or titles. Search engines measure the relevancy of your site, based on the anchor texts of the links pointing to it. When search engines find these links with your defined anchor texts, the chances of your site showing up on top of the search engines' rankings for the given terms are increased. The higher you rank, the more visibility you gain, which will eventually lead to more visitors to your website. This way, although indirectly, directory submissions also help in increasing website traffic.