Hi, kudos to you for taking this on...
yes, it takes a few weeks for them to update the moz bar with new fresh metrics upon the latest crawl... they used to crawl every 20 to 30 days, sometimes longer intervals... I'm not up to date lately as to the actual frequency for the Mozbot crawls, but you should see the metrics soon if you've done the homework properly: 301 redirects, execute the 'change of address' trigger via Search Console from http to https....re-submit your xml sitemaps under https, etc...
I also assume that you have no mixed content on your site anymore, meaning internal links pointing to the right version of your pages and resources: image urls, etc... otherwise if you only rely on the 301s it take a lot longer to get Google to index your https pages...
hope that helps, good luck!
david
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Update I've just bothered going to the Dev Blog: https://mza.bundledseo.com/devblog/category/archives/linkscape/ and can read that Mozscape data hasnt been refreshed in the last few weeks + on top of that there were some issues with the index in feburary. That may explain why you are not getting Moz link data for your new https site?
