The short and simple answer is: No.
All links in our widgets use "rel=nofollow" which is a way to tell Google not to index the links. This concerns both article recommendations and ads.
However, even if the link itself is not indexed it may have an indirect impact on SEO since the user finds the original article through Google and from there the user will engage with our widget and through cross site recommendations find other sites. That is yet another reason why our cross site recommendations are powerful.