Search engines read some special markup tags for paginated content in order to relate them logically. An easiest example could be a long article that spans multiple pages with all different URLs. By putting rel="next" and rel="prev" markup in the head section, you are actually telling web crawlers to consider those pages in sequential manner and not to disperse between their links.

In this type of case, for a keyword search, the most relevant page of that series or typically the first page of the series will appear in search engine result pages. This holds good when content pages are correlated. But is it helpful for time sequential pages?

Is it helpful?
A lot of bloggers do post articles for their blog in a free flow. It is not at all necessary that every article is strictly correlated with the previous and next articles. So the pagination markup isn't the best use of your time.

Is there any harm?
It's fine if you include the markup on your time-sequential pages, but please note that it's not the most helpful use case.

What should I do?
You don't have to do anything. If you have already implemented this, it's fine to leave it as-is. If not, don't waste you time in doing these until it is more suitable for you blog or you use multiple pages for long articles and want to give search engines a strong hint to better understand your site.