The Lost Links tab has the same interface as the New Links report does. For your own domain you might want to consider tracking your own links in something like Raven or Buzzstream but this tool does report dropped links down to the day. Combine that with their crawling preferences (better links = quicker attention) and you can spot drops of substance quickly.
There are numerous SEO tools out in the market, however, if link building is the topic at hand, then I honestly think that using Ahrefs is enough. Starting with the dashboard – just input the details of your site and your keywords, then it will give your potential competitors. It’s easy to use and it also has one of the best features for finding broken links, curating skyscraper articles, and link reclamation.
Ahrefs make use of two link updates in your website - the Fresh Index and the Live Index. Fresh Index which updates at a longer time frame. It shows the dead links on your website, giving you the chance to change or reclaim the dead link. The Live Index, on the other hand, makes link updates every 15-30 minutes. This provides you with the chance to see regular link updates on your website.