I'd say yes. I have 3+ full sets of apparel that are all double enchanted for different, or even slightly different, play styles.
I jumped through hoops to maximize my enchanting potions, making multiple sets of alchemy gear and going to Apocrypha to change The Sallow Regent effect every step of the way. I know I could make the potions, and as a result the enchantments, a bit stronger, but I feel I've reached a good cap for my play style.
Nah I dont really go overboard. Since I'm primarily an archer, I use soul trap 99% of the time. I'll throw paralyze and chaos on a 1H weapon.
Too much enchantments can be dangerous. M'aiq once had two enchantments and burned his sweetroll.
Maybe... (Hides Rainbow-colored Stalhirm Shield)