Yeah, Fabric Tac doesn't work at all for lining clips. I use Specialty Tape from Kate's Craft store, and I will never use anything else. I've accidentally put clips through the washer and dryer before and they look perfect. It's funny that the pp thinks tape takes too long, that's what I think about hot glue!
I guess that once you have your system down, you get into your groove and just pound them out.