I learned the sentence in bold from the transcript of a podcast in 60-Second Science:
Eysenbach tracked more than 4200 tweets that cited 286 articles in his own journal. Three quarters of articles that got tweeted a lot (or, to use the study’s nomenclature, had a lot of tweetations) turned out to get a lot of citations. Only 7 percent of poorly tweeted pieces wound up highly cited. As the article notes: "Social media activity either increases citations or reflects the underlying qualities of the article that also predict citations." But I predict that young researchers who use social media to the chagrin of their administrators will cite this journal article. Or tweet about it.
I don't understand what is the meaning of "use social media to the chagrin of their administrators". Is there a phrase of the pattern "use something to something"?