At University College Cork we host LimeSurvey for research and admin surveys, but we keep having to remind people about it because their brains are trained to think SurveyMonkey.
At the Karlsruhe Institute of Technology several research groups use LimeSurvey for their research or for theses of their students. There may be a diverse set of survey tools but LimeSurvey is used quite often.
This also depends on the money a project has and on the scope of the survey, I think. An important factor is, for example, the need for a huge number of participants so that you pay for panel access or similar.
We use it at the University of Michigan (USA) to track alumni activity. The hardest part is dealing with moving data out of an older (obsolete) system into the the database.