Good Web directories that have a review and approval system in place can take some time to review and approve your listing. It is a good idea to submit your site to more directories, especially those that provide quick review of listings to improve the number of approvals you get on your submissions.
Don't worry sometimes it takes time for the approval but I think now a days directories are not so important for SEO activity so you can try other methods.
Maybe the directories you added a link is not relevant to your niche. i suggest you to use niche relevant directory submission to gain more quality backlinks
Actually directory submitting is a huge work and you can't expect all the url will be indexed and show soon, just keep on doing this and some day you will find some work.
It depends on directory policy.Some site approve immediatly but some are not approve soon as well as.
Best answer. Yes, it takes lot of effort & time for free things. These directories some times don't bother about the free stuff. They are more interested for paid things. Once you submit your website to directories, they take months of time to review & sometimes they might just leave. So, you better do some other hacks for organic growth rather than directory submission. May be something like profile creation on some high PR websites like scoop.it, reddit etc might work the same as well....
OK, lets talk about niche directories. How many Doctors or Lawyers or software niche directories these are: 5, 10...? How much 10 directories would help you to promote your business to millions of potential clients or even just visitors? Same same applies to 10 related Blogs. ??? fastreplies