Not really a fan. I went to college with a Jillian and she was a lovely person, but everyone called her Silly.Jilly. Cute, but not professional. Jillian Michaels comes to mind too and while I admire her for being so fit, she comes across as an aggressive, annoying person.
On a related note, Jillian and Gillian are not necessarily the same name. Gillian Jacobs from the TV show, Community, pronounces her name with a hard G. I'm not a fan of that either!