The Library does have a subscription to Scopus, citation and abstract database that covers a wide range of disciplines. Allows search by author and institution, includes citation data, and allows for in-depth searching on a concept or topic.
If you want to see which articles cite a specific article, just go to scholar.google.com, type in the title and author, and find the match in the results. Directly under the title will be a link to Cited by, with a count and a link to see all of those articles.
If you want to create a report of all articles that have cited anything you've written (for your PIF or PAF), then you'll need to set up a profile with a Google Account. That will give you a constantly updated report of citations for all of your work.