@Cyringohn:
Blackbeard could simply suck Buggy's parts into a black hole.
The power absorption aspect of Teach's Devil Fruit would do Buggy in simply because his body would revert to being that of a normal person, who can't survive being reduced to constituent subatomic particles. That and it would remove any ability he has to reassemble his body. Unless Buggy always eats and drinks out of habit rather than necessity, an inability to come back together is going to finish him off in the long run.
The other option for Teach would be to draw him into a blackhole and the scatter him with Release, which that would definitely hurt as, if I recall correctly, his ability to control his seperated body parts diminishes with distance.
A Noro Noro Beam might mess him up pretty badly as well depending on how Noro Noro Photons interact with other particles.