Yes - this is my third vase of Irises inside from my current flowering. I haven't had drips from the Iris but I have had from the Banksias and Red Hot Pokers. I always put them in water and then cut the bottom again before arranging.
I keep mine out of direct sunlight when inside.
Hope this helps - From Google
Display the flowers in a position where they are protected from direct sunlight, breezes and intense heat. If they are bearded irises (Iris germanica hybrids, USDA zones 4 to 10), keep them on an easily washable surface rather than an expensive tablecloth because their blooms may drip a sap that can stain.
With the right care, iris should last for 5 to 7 days. Upon arriving home, follow a few simple steps to get the most out of your blooms: When you get home, stand the wrapped flowers in water so they can get a good drink while you're getting the vase ready.