Lewi, are you talking about what Dr. Mario is? If so, an ellipsis (...) is necessary to clarify that there is more to be said that you've left out.
And I meant in writing. Slang can be used to defend the fact that anything can make sense to at least one person. Not only that, but things can be implied verbally. Grammar is obviously not spoken literally, so something like an ellipsis would have to be represented by drifting off when you say the conjuction—the conjuction, that is, that remains in the middle of the sentence even if it is the last thing you say, as the last half, as already mentioned, is implied.
Having said this, I still doubt that any language in the world allows for a conjuction to be used to connect two independant clauses and to be added randomly at the end of any sentence.