They told me: no heavy lifting, no rough sports or contact sports (right...
).
I wasn't able to work out, but the picc line didn't bother me at all. My sister on the other hand, couldn't wait to get it removed (they placed it so close to her elbow and then down to her lower arm, which was really not easy to shower, work, practically everything.
I think this is pretty accurate:
www.livestrong.com/article/522470-what-are-the-dangers-of-exercising-with-a-picc-line/