Raam, you did an excellent job. Congrats.
To make my blog more like Medium, I’ve added a couple of plug-ins to your theme: ‘Reading Time WW’ to show read time instead of word count (it gives a more immediate representation of effort) and ‘Inline Comments’ to support Medium style comments. In both cases, integration is far perfect (have a look at my site). I did some minor CSS tweaking but not functionally (I have no PHP/WP experience). I think these two features are probably what someone can miss more on your theme with regards to Medium. So may I humbly suggest them as candidates for your new feature list.
Happy new year