Oh my god...you must be doing something wrong then. You can usually fix a flat clincher in about 8 minutes or less. What takes a lot of time is inflating the tire to 100+ psi with those mini-pumps, but then that applies to both clincher and tubular tires. With tubbies, you need to carry a whole spare tire with you. With clinchers, a spare tube and possibly a patch kit (that will get you through two flats on your ride).

I'd like to learn how to install a tubular tire and then ride one, but I can't help but think that after reading the instructions on how to install a tubular tire, it isn't worth the extra hassles for the supposed benefits. Then again I rarely flat, so once I install a tire, it's on there until it wears out.