Short and sweet: Audino has two things going for it. Regenerator + Trick Room is unique to it* and it is also the only Normal type to learn Trick Room and Healing Wish. The other advantages it has over Chansey/Blissey are dual screens, Encore and Yawn. Dual screens/Encore are done better by Clefable. Yawn Audino is simply not game breaking OU material.
However, Audino could foreseeably shine as a Trick Room setup Pokemon due to the aforementioned qualities it possesses. It can effectively set up Trick Room in two different ways. Firstly, Audino can switch in on an attack that 3HKOs it, Trick Room, then switch out to a slow sweeper, as Regenerator may allow it to secure more Trick Rooms later in the game. In more desperate times, Audino's rare combo of Healing Wish + Trick Room could turn a match. Consider this example of circumstances required for Audino to setup a sweep:
Bait a Shadow Ball, switch in Audino, set up Trick Room while surviving an attack off your bulk, use Healing Wish to fully recover/switch in your Trick Room sweeper, attempt a sweep.
Well, that's my case for Audino possibly being analysis worthy, if only for this set. Full set with shoe-in analysis below:
[SET]
name: Trick Room Support
move 1: Trick Room
move 2: Healing Wish
move 3: Yawn/Toxic
move 4: Fire Blast/Yawn
item: Leftovers
ability: Regenerator
nature: Sassy
evs: 252 HP/144 Def/24 SpA/88 SpD
ivs: 0 Spe
<p>This set encompasses Audino's only niche over other supportive Normal types. Trick Room + Healing Wish is unique to it, as is Trick Room + Regenerator. Audino's bulk + Regenerator allow it to setup Trick Room with relative ease. It should come in on either relatively weak attacks or Ghost type moves. In mid/late game, Audino can utilize Trick Room + Healing Wish to competely restore and bring a Trick Room sweeper of choice.</p>
<p>Audino's other two moves could be any combination of Yawn, Fire Blast and Toxic. Using the above EV spread, Fire Blast 2HKOs 4 HP Magnezone and Excadrill 100% of the time after Stealth Rock damage. Those Steel types were mentioned because they are the only Pokemon in the game who are immune to both Thunder Wave and Toxic (which the offensively inept Audino will be expected to carry). Assuming you Trick Room on the switch, Audino can actually solo Excadrill as it is not OHKO'd by even Choice Band Earthquake.</p>
<p>Yawn and Toxic (Thunder Wave is excluded because this is a Trick Room set) are Audino's options for inflicting status on enemies. Toxic and Fire Blast have strong synergy, but Yawn has a smaller distribution than Toxic and is much more likely to force switches which can aid in setting up Trick Room sweeps. Flamethrower is not a strong option over Fire Blast due to Audino's poor Special Attack; in order for Flamethrower to 2HKO Excadrill after Stealth Rock, Audino would require at least 212 Special Attack evs. Investing so many evs in Special Attack cripples Audino's bulk.</p>
Thanks for reading.
* Statement true until Dream World Slowbro, Slowking and Reuniclus are released.