Links to Furfrou being used in battle:
Why use Furfrou?
Furfrou has a very unique ability
Fur Coat, which halves all physical damage done to it. it also has Cotton Guard in its movepool, which raises the defense stat 3 stages.
So, with just one boost from cotton guard, Impish nature and 252 EVs in defense we can easily take a few hits
252+ Atk Life Orb Reckless Hitmonlee High Jump Kick vs. +3 252 HP / 252+ Def Fur Coat Furfrou: 136-161 (38.4 - 45.4%) -- guaranteed 3HKO after Leftovers recovery
252 Atk Garchomp Outrage vs. +3 252 HP / 252+ Def Fur Coat Furfrou: 39-46 (11 - 12.9%) -- possibly the worst move ever
252+ Atk Metagross Meteor Mash vs. +3 252 HP / 252+ Def Fur Coat Furfrou: 33-39 (9.3 - 11%) -- possibly the worst move ever
On top of this, being a Normal type pokemon, Furfrou has an extremely wide movepool. Access to Sucker Punch and Retaliate make it excellent Revenge killer. Its ability to take almost any physical attack lets it easily dish out a good Return or two with a so-so attack stat of 80.
If you put a choice band on Furfrou you can hit really hard with Retaliate or Sucker Punch.
252+ Atk Choice Band Furfrou Retaliate vs. 0 HP / 0 Def Garchomp: 283-334 (79.2 - 93.5%) -- guaranteed 2HKO
252+ Atk Choice Band Furfrou Sucker Punch vs. 252 HP / 0 Def Metagross: 166-196 (45.6 - 53.8%) -- 46.9% chance to 2HKO
Which makes Furfrou great for picking off pokemon you've worn down.
Now, it may not look like it, but Furfrou can actually be viable as a special attacker. A base SpAtt stat of 65 looks pretty unusable, but it has access to Charge Beam, which gives it a 70% chance of raising its special attack each time its used. With its Fur Coat ability and given an Assault Vest, Furfrou can take hits while Charge Beaming and Echoed Voicing its way to glory. That paired with U-Turn makes it great for chipping away at the opponents team and scoping out for your team with U-Turn. It can even learn Surf, how could you argue with Electric/Water coverage?