The “uniform information density” (UID) hypothesis proposes that language producers aim for a constant rate of information flow within a message, and research on monologue-like written texts has found evidence for UID in production. We consider conversational messages, using a large corpus of tweets, and look for UID behavior. We do not find evidence of UID behavior, and even find context effects that are opposite that of previous, monologue-based research. We propose that a more collaborative conception of information density and careful consideration of channel noise may be needed in the informationtheoretic framework for conversation.