[_pfxa]

If you're leaving the tip open, i.e. the cap is not on for more than some seconds while you aren't writing, then the ink in the feed may dry. Another possible reason of these problems is low quality ink, nib and/or pen, and yet another is fibres of paper sticking into the cut in the middle of the nib.

edit: and dirtying your hands might be because you're a messy pen user. I definitely am, no matter if I use a ballpoint, a rollerball, a fountain pen, a marker, &c, I get my hands dirty. Personally I'm fine with that.