I dont get why people bring up prediction with Wobby. That point is a moot and Encore makes it that way. Encore also makes it easy to get a 100% free set for another team mate combined with its ability, no other pokemon has the ability to grant that free of a set up, since you can simple switch out of any other pokemons encore, not wobby. There is a battle log with a Garchomp setting up on a Cress thanks to wobby. =/
You have 5 options in a battle, your 4 attack moves and switch. Wobby nulls this to just one attack with encore and shadow tag. Something which other trappers dont do (Duggy and Zone), you at least get your 4 moves. In addition Duggy and Zone are limited to what they trap, wobby traps everything.
Wobby is also probably the best revenge killer in the game too, send it into something locked into a choice move and you take down a poke for free.
Honestly a good wobby user will always at the very LEAST take one poke down, since he or she can send it in whenever they like and eliminate one of your pokes for free pretty much and thats not even mentioning the following 2 strategies : -
Jolly wob : - Lets see, this means what it says on the label. You give your wobby max speed thus makes every pokemon in the game under wobby's max speed (181) non-existant (which means most walls), which is pretty simple, you send it in on something that slow pokemon does aka stealth rock/Softboiled/Roost etc and then Encore it and proceed to drain that move of pp and struggle stall it to death ^____^, cheap and simple.
Tickle Wob : - Then there is also Tickle Wobby (event move) + CB Pursuit user. Again, send it in on something that is not a threat, Encore a move and then Tickle down the foe to -6 def and then you send in your Pursuit user and as the foe switches, Pursuit them as they switch out. Keep in mind that a CB Tyranitars for example, Pursuit does ~95% to standard skarmory who RESISTS the move, so i wish good luck to everything else lol. This strategy can be found
here.
Also before people bring up moot points like "Its easy to ohko" (trust me, it alway seems to happen in these sort of threads) lolno, you could'nt be more wrong. Choice Band Tyranitar cant OHKO standard Wobby with Crunch (THE most powerful dark attack in ou, if not the game) nor can specs Gengar with Shadow Ball, which goes to show how much of a beating this thing can take.