Your team isn't that bad. Skill Link Cloyster is pretty good, and I got absolutely destroyed by that kind of Azumarill before. But I do have some suggestions.
Kings' Rock isn't a useful item to Cloyster. Put the Sp.Def EVs into Speed, as with a Jolly nature and Shell Smash, Cloyster will be fairly fast. A better item would be a Focus Sash or a Life Orb.
Machamp is a Pokémon where you're like "Oh, cool, Dynamic Punch and No Guard!" until you realize Machamp's meh defenses and low Speed screw that up. So you need a replacement (its not bad but you could get better things). Lucario, while rather common, would be a good option.
Lucario w/Life Orb or Focus Sash (depends on what Cloyster's using)
EVs: 252 Attack, 252 Speed, 4 Defense
Moves: Swords Dance, Close Combat, Crunch, Bullet Punch/Extreme Speed
Nature: Adamant/Jolly
Ability: any of them will do
This is the standard physical Lucario set. Bullet Punch is for killing Fairies and giving Lucario priority, and is preferred, but Extreme Speed works as well if Fairies don't concern you.
For your last slot, Bellossom or Gliscor would be better than Honchkrow. Honchkrow, IIRC, was only good for powerful Sucker Punches, but it now has Fairy issues, and Yveltal's Sucker Punches are far more powerful. Bellossom works well with Mega-Zard Y's Drought. But you should only use it when the sun is up. Gliscor makes a great physical wall/tank, and has its Water and Ice weaknesses covered by Cloyster and Azumarill. Come to think of it, Gliscor would be the best option, since it covers Cloyster, Azumarill, and Charizard's Electric weakness as well, and isn't sun reliant. So you'll wanna consider one of these 2 sets:
Gliscor w/Toxic Orb
Nature:Impish
Ability: Poison Heal
EVs: 244 HP, 40 Def, 224 Speed
Moves: Substitute, Toxic, Earthquake, Protect/Roost
or
Gliscor w/Toxic Orb
Ability: Poison Heal
Nature: Impish
EVs: 244 HP, 248 Def, 16 Speed.
Moves: Earthquake, Roost, Toxic/Taunt, U-Turn
"Spd" also signifies Speed, as seen by Serebii's Pokemon of the Week entries. However, "Spe" is the less confusing term.
Anyway:
What do the 84 Speed EVs do for Azumarill? If they don't do anything in particular, use 252 HP/252 Atk/4 Def.
I don't think that Rapid Spin would do Cloyster much good because while it does give it a way to support the team, the last slot is better used for Hydro Pump or Razor Shell as a secondary STAB or Ice Shard as priority.
Also, I don't think Charizard Y benefits from being on the team because of how the Sun weakens Azumarill's Aqua Jet (though Sun lasts for 5 turns). Just use Charizard X:
-Dragon Dance
-Flare Blitz
-Dragon Claw/Outrage
-Earthquake/Dragon Claw/Roost
Nature: Adamant/Jolly
EVs: 252 Atk/4 Def/252 Spe
Item: Charizardite X