Hi, I am actually an RA at Rutgers. I don't know about the clinical psych department, but I know there are a number of general opportunities in the psych department at Rutgers (it's a huge research institution). I think it's sort of hard to break in- as they often hire undergraduates who they have already worked with, or hire people from other labs- but it's definitely possible. I actually found an RA listing on their employment website.
I would say, if you are interested in working at Rutgers, start by looking into labs who do work that interests you, and start emailing about whether they might have any openings. It's worth a shot, best of luck!