Other Options
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Azumarill has a few other move and set options that all have decent potential. A Life Orb can be used on the Choice Band set for more move freedom, but Azumarill's lack of reliable recovery, susceptibility to entry hazards, and recoil from Life Orb can wear it down very quickly. A specially defensive Sap Sipper set with Scald / Toxic / Protect / Knock Off can work well on defensive teams in need of a solid counter to both Charizard forms, Dragon-, and Fighting-types. It's lack of offensive presence and reliable recovery really hurt it though, so make sure to pair it with a cleric and/or a Wish passer. A SubPunch set with Leftovers is somewhat viable because it forces a lot of switches and can demolish Ferrothorn, but it requires a lot of prediction to work properly. Encore can give Azumarill opportunities to potentially set up a Belly Drum, but it then misses out on the extra coverage move or the reliability of Waterfall. Aqua Tail is slightly more powerful than Waterfall, but it has a 10% drop in accuracy and loses out on the ability to flinch, and it doesn't score any significant OHKOes.