As someone who has had several bouts of epicondylitis (lateral and medial) over the years, my personal experience was that chins would aggravate the condition more when I was in its throes.
Dips never really bothered my elbows but now my shoulder won't allow the proper range of motion due to previous rotator cuff issues.
Ironically, both movements, (weighted and unweighted), were probably my strongest over the years.