I would propose a
+1 point for the important comments that are voted by the users. Is it possible to do something?
See the figure below:
I don't think it's possible, otherwise, you'll get reputation points for a standard comment like this:
Or funny comments like these:
However, you can earn some badges for comments:
Please remember that we are here to help the other users, not to compete for reputation (egreg and David excluded).
Comments have always been considered lower-class citizens across the entire network. They're meant to request clarification, but otherwise clutter the main aim of the site. What is this aim? ...to pair up good questions with solid answers.
Attempting to make comments just like posts have been proposed:
Why do I need 50 reputation to comment? What can I do instead?
This is an faq that questions why you can post content (questions and/or answers) with only 1 reputation point.
Yet they remain small potatoes:
In fact, there are actually Winterbash hats dedicated to clearing up comments:
Reputation gained from comments may not give a true reflection of reputation.