You need to edit the template file(s) for the theme. It probably uses the_time() instead of the_date().
Photog has a year on its dates on the left side of the posts. The code for this is very straightforward and might be easy to apply to ChocoTheme.
I did the straightforward steps and wanted to share them with you:
1. Find the following starting in the theme’s archive.php line 27, index.php line 8, search.php line 11 and single.php line 7:
<span class=”day”><?php the_time(‘d’) ?></span>
<span><?php the_time(‘M’) ?></span>
and add this line right after them:
<span class=”year”><?php the_time(‘Y’) ?></span>
2. Find this in the theme’s style.css line 96:
.post .date span { display: block; font-size: 16px; font-weight: bold; color: #f4b995; line-height: 1; text-transform: uppercase; }
.post .date span.day { font-size: 26px; }
and add this line right after:
.post .date span.year { font-size: 8px; }
To change the size of the year, change the number in font-size. If you want to make the year much bigger than this, you may need to decrease the sizes on two lines above so they won’t hit the edges of the box.