I'd be willing to bet that Meowth HATES Wobbuffet.

When Meowth ran off with Jigglypuff for awhile (forget the ep title, the one where they had to get through the Onix cave and Snubbull stole the microphone) Meowth was shocked that J&J liked Wobbuffet ending the Motto instead of Meowth. And because of this Wobbuffet has horned in on the TR Motto, I think "Wob-buf-fet!" is an official ending now, and and so Meowth doesn't have the final word.

Remember that when deciding which TR Pokemon to trade for the Magikarp Salesman's Weepingbell, Meowth nominated Wobbuffet.

And one time (again, forgot the ep, sorry) when Meowth was enjoying a view and Wobbuffet simply sat next to him, Meowth rather angrily gave him a scratch attack (only to get double back with counter).

So I don't think the two are friends.