The best option for clothes is layers. Something the water and wind won’t get though, so goretex is best. You don’t need anything to heavy either if you buy good stuff. After doing the first pitch ice climbing myself and the first guy were sitting on an ice ledge waiting for the third guy to climb up. First guys outer layer was covered in a layer of ice with the last patch melting in the car that was 45 minutes away so the ice probably lasted about 2 hours if not longer. They weren’t even bulky thick outer layers. I probably had more bulk from my regular ski jacket and less warmth. His pants where also less bulky and I’ll bet his legs were just as warm. You just need good layers so that you won’t sweat while your active but you have something to throw on for that little bit extra warmth. A pretty thin insulated jacket is basically what they had and it was pretty valuable for the weight it added on the pack which I doubt felt like much. Depending on the weather you’ll be experiencing you might need a thick parka but that depends on how cold you expect it to get. Nose hair freezing ?