I hang mine from the shower curtain rail, using stainless steel binder clips from
The Arthur Platt Company. A piece of twine through the clip arms will hold the top one up.
Their SSB-2 clips are just right for hanging 35mm, and their SSB-3 clips are just right for hanging 120. A couple of the ones I ordered don't quite clamp down hard enough to hold on to a wet roll of film, so I had to Plasti-Dip those to make them just slightly grippier. In general, though, I think they're much superior to the regular film clips, since they grip the whole width of the film (vs one point in the middle) and they're heavy enough that I haven't had any film curl to deal with since I switched. Doran clips are the only other ones I've seen that grip the whole width (only for 35mm) and they cost $10 for a two pack vs $3.46 each or less. By the time you've got enough for your darkroom, you've saved enough to buy a roll of film or two to hang between them!