I would think it hard to clean a grenadine yourself because of the weave. Also, whatever you get on it is sure to stain the interfacing, which depending on construction could also be seen through the weave. I am not that nitpicky with cleaning my clothes, I don't do it often honestly, (suits and ties) so I don't feel it worth it to go out of my way too much. There is a dry cleaner up the street from where I live where I can talk directly to the person doing the work, which is good. I just threw the tie over his head strangled him and and said, "You clean this, you hear!??! When you are done cleaning it, Don't press it! If I see any signs of pressing I'll hang you with this muthafucka, got it!?!?!"
No, but it all seriousness, I just pointed out the dribble and I told him not to press it flat. Came back looking like it did when I got it from David.